You should continue it's as simple as that. You don't have much choice really, you either continue or you don't.
All those artists you admire spent hundreds and thousands of their hours drawing. Ask yourself, did you? How many years you draw? How much hours a day? Are you trying new things at all? Are you learning anatomy, color theory? Just be honest with yourself, don't explain things to me or anyone else.
I will tell that yes, I am the same as you are. Never good enough. What you need to remember is that you CAN and you WILL become better. The only question is when and it purely depends on how much work you put into it. But you will inevitably become better if you do your best. And you should really really start from something you enjoy drawing.
To hell with comics, don't draw comics if they put you into depression and existential crisis. Draw you favorite characters, draw fanart, porn, mechanics, whatever you like, just don't stop, because you need to draw more and try doing new things to become better and it would be so much better if you enjoy it.

I haven't dealt with this a lot...most of the time when I start hating my art, it's after I post it. During its creation, I'll think it's beautiful and that I'm a genius, as usual, and then next week when I look back at it I'll be like "what the hell was wrong with me when I made this". Sometimes I'm right, too. ^^;

But I feel like if you're at a point where your dislike for your art is preventing you from even going through with it half the time, you're gonna have to think critically about whether your reactions are rational or not. I think that's the first step to solving any problem: figuring out whether or not YOU are causing it.

I assume if you're concerned with improvement and keeping up with other artists, you can identify what they can do, and whether or not you can also do it. Try to be objective about this: can you do what they can do? If you were to try to copy the art of an artist you admire, would any outside viewer think they look the same?? Do you understand the techniques they use? Can you tell whether any given difference between your work and theirs is minor or major?

That last question is a biggie. If EVERY difference/deficiency looks like a grave error, then the only acceptable conclusions are (a) you draw like a 3 year old or (b) you're being way too hard on yourself. You won't be able to improve if you can't actually discern what needs careful study and what just needs a little adjustment...it's like trying to learn math when you don't know the difference between simple addition and advanced calculus. =/ You're gonna waste a lot of energy and frustration trying to learn everything on the spectrum between those skillsets, and you may never feel like you fully understand any of it.

If you find you can give objective answers to these questions, then the only thing left to do is continue to study and practice until you get to where you want to be. Which is another big question: where DO you want to be??

It's...really hard to gauge your progress and success when you don't actually have a goal. ^^; When you say "I should be at their level", what do you mean? If you were to create a list of skills to that end, what would be on it? Do you know?? And if you had all those skills, would you consider yourself a 'good' artist...? Why or why not?
And furthermore, what's actually necessary for your comic? I'm assuming that if you've already written a couple chapters, you have a good idea of what the priorities are in the story, and what the artwork needs to show. Are you focusing on these things? When you decide to reject a page of your comic, or several pages, are these included in the reasons why? (They should be.)

There's lots of questions here. ^^; But there kinda has to be, because the most important evaluation of whether your art is worthy of love has to come from from you. In the end, your answer matters more than anyone else's.
And also...we don't have any context. I'm gonna just come right out and say it: the meaning of this rant will change if it comes from someone who can't actually draw. =/ It's just a fact.
Which is why so many of the questions I asked focused on evaluating your own skill level. You have to know if your hatred for your art is something you can probably overcome through additional practice, or if it's purely psychological, and thus something you'll have to find a way to manage until it goes away.

@Kelheor said it but I'll throw in a few things (telling it to myself too - a lot of your post resonates).

You've touched on effort and skill as things you struggle with. This is specific to me, but spending lots of effort on polishing individual pieces hasn't actually made a difference on whether I like them or not. The long term grinding out exp and working on skills means a sketch I spend 15 minutes on now looks much better to me than the careful illustrations I spent 15 hours on a year ago. And it still doesn't necessarily look good but it looks better. You know what I mean if you ever just stare at a sketch that one of the artists you really admire made and it's like... how? It's just a few lines. It's because they spent those hundreds and thousands of hours Kelheor mentioned.

Here's a different way to think about this - if you stop thinking your drawings could be better, you're going to stop growing as an artist and that's... less than ideal. Sometimes it's really hard to feel that it's a positive thing to spot all those flaws but actually it does mean that your good taste and your eye are going to keep moving you in the right direction. Whenever I have a hard time looking at drawings I made, I just put them away/avoid looking at them and make new ones. Then on days when I have more patience with myself I look for things that I can appreciate. It hasn't become any easier but I've become more used to the cycle after drawing more seriously for a little while now.

The pain of a comic is that you've kind of got to face art that you work on over time. But a lot of readers will cheer you on as you get better, which is definitely motivating. And sadly, the best way to get better at drawing comics is drawing comics, if that's what your goal is.

Last thing I guess is that it can be really helpful to have a supportive group around to share art with, talk to and learn from. Since you're here on the forums I guess you already know that, but I'd say definitely keep sharing.

I think also, the pressure to post literally all your art online is what leads to a lot of artist burn out and artist fear. Like it's perfectly normal to be afraid of your audience--especially now when a lot of audiences are so critical of artists who make free comics (and sometimes leave nasty comments) and if you have any negative comments or see other artists getting those comments, it may just pull you away entirely. And even if you aren't really afraid of your audience, dealing with the having to compete with other comics--even comics that aren't in the same genre, is going to add an extra layer of dread. There is too much pressure on the performance of the art we make on these random websites that are mostly based on computer algorithms. Too much pressure from these websites that, for the most part, are not paying us.

So like, are you afraid to draw, or afraid to post what you've drawn? Because you have drawn. You have those pieces, you just don't want to show them--and honestly, that's fine. I stepped away from doing as much art on twitter during the past year on my main account and it was a wonderful decision for me, because all of that comparison and all of that fear of betraying my audience by not showing them exactly what I thought they wanted to see was getting to my head. It was interfering with my ability to make art.

So I have a bunch of art that is just for me. It's my own experiments. Stories that are just for me. Things that really aren't for my audience, and may not be liked by any audience, and that's really important to me and building my own artist self esteem. I may post it eventually, but for right now, those are things that I can make just for me.

And like, maybe this isn't the problem you're going through at all, fear in the creative process happens for a lot of reasons, but just something that's been on my mind lately having to do with it.

I can't really relate to being afraid to draw, but definitely to hating own art!
Luckily it got better for me now, however in the past when I was doing a compilation of my arts at the end of the year I was so disappointed with my arts and hated them so much that it was discouraging to draw c: and this continued for few years in the row.
What helped was to sit down and try to realise what I actually want from my arts. Because there are a lot of artists that I admire and love their arts, and their artworks are completely different- as in, completely different styles and amount of details, and I wouldn't say that one is much better than other. But somehow when it came to my works, they always were not good enough for me and just plain boring. When I tried more cartoonish drawings, I would compare them to semi-realistic arts of my friends, and when I tried soft-shading and more realistic styles, it lacked the flow of more cartoonish arts. So figuring out what you want to achieve and then adapt and improve according to that without looking at others helps.
In my case it's a storytelling- I want my arts to look like an illustration or a frame from animation. I want to see some movement or emotion and a scene. So I focused on improving composition, perspective, angles etc. I still make a lot of mistakes, but I'm much happier with my arts now ( :
Also instead of falling into too much perfectionism and forever trying to fix one artwork, it's better to just notice mistakes you made and try to use that knowledge in next artworks.

Now, this is for separate artworks, but improving in those also improves artworks in your comics. And as for comics, I think I had more problems with storyline than arts in my self-esteem department. But see, you have a story to tell. A page can ALWAYS look better, but stories are usually quite long, so you need to find a balance to actually have a time to draw the whole story.

I completely understand. I’ve been dealing with this same issue for a while, though mostly with writing (though now that I’m actually working on a comic, it’s trying to filter over to that).

I absolutely love Blue Period. I actually recommend you read it. It may help you view everything a little differently; it helped me. Plus it’s a very interesting take on art and artists.

This is a difficult one. It’s all too easy to feel like you aren’t doing enough or your work sucks. I think all artists (of every kind) deal with this on a regular basis. But there’s something that separates the people who never go anywhere and the people who do: one group stays in that place of self-hatred and frustration, and one doesn’t.

I’m not talking about not posting your work or posting it; it’s obvious that you want to move on with the comic. But there are two paths you can take if you’re going to move forward towards that goal. On one hand, you can continue to think you suck and that your work isn’t as good as it should be, which will give you nothing but heartache and limit how much work you do. Or you can choose to change your mindset, and look at the things you like about your work. Focus on how you have improved, and how you’re being brave by showing your work. Reaching for improvement and wallowing in a lack of perfection are not the same thing.

The people you admire hate their work sometimes, too. We all feel like imposters at moments. But they don’t stay there. They have confidence that their work means something, and that it will inspire or entertain or help someone. They’re choosing to look past what they don’t like, and towards the future they want to reach. It’s difficult not to get caught up in flaws, but you have to shake yourself out of that mindset if you’re going to get anywhere. You have to tell yourself that your work is good, even if you don’t fully believe it. And eventually, you will believe it.

Focus on getting better than you were yesterday—not better than that artist you admire, or even the artists whose work you see in the bookstore. You’re in competition with yourself, and yourself alone. Art is about the personal journey we all go on, and what we learn along the way. Be proud of your journey and the steps you take, instead of being in such a hurry to “arrive”, because you’ll never “arrive” in the ideal place you want to reach. It would be boring if you did think you’d reached the goal; you’d have nothing to strive for. But you can get better bit by bit, and learn to appreciate your work—and yourself—along the way. That’s where we have to find contentment. Sometimes we have to rise above our emotions, and do it anyway.

So, as my friend said the other day, “You’re frustrated and don’t think it’s good enough? Where is that getting you? You decided to do this, so get back to work.”

Or, as Colette said, “No one asked you to be happy. Get to work.”

I used to do the same thing because I'd always compare myself to people with decades more experience than myself, haha. You have to realize those people have been in that same exact place, just... you haven't seen it. They've also failed and felt like it wasn't good enough. You just weren't there to see it.

The most revolutionary bit of advice that I got in regards to dealing with these feelings was from a writer (poet, actually). She said you have to respect your failures and learn to be with them because within those failures is your key to success. Like, when you first start a drawing/piece of writing, you have nothing, and you have to make something out of literally nothing. Sometimes you're lucky (or was able to grasp a very clear vision from the start) and it's good. Sometimes you look at/read it and go "man this sucks." BUT! It doesn't actually suck at all. Because now you have a bad drawing/piece of writing, you have SOMETHING. A map. A map that shows you were you don't want to go, sure, but now you've carved out a piece of nothing and made a first attempt at your vision. If you just discard the failure, you're discarding your shortcut to making the thing that looks like how you want it to look. But if you just give yourself some time to de-stress/relax/not think about it and come back to it with a clear head, that failed piece will show you what you need to do to improve it - even if it means doing literally the opposite!

Like... here's a panel from my first comic that I never published:

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That first one is a really crummy panel. I drew it and I instantly knew that I can do so much better, but I felt all sad and mopey about it because it wasn't right and there it was, the proof that I was a talentless hack who will never amount to anything. So I left it, walked away, did something else. When I came back, I looked at it again and realized that the issue was a) disharmony in color and b) too many details/textures that made the already muddy colors look worse. So I picked out 4 colors that worked together that set the mood I was looking for, and re-drew the sketch to minimize the textures/increase the use of bigger, more geometric shapes. Second time it came out MUCH nicer, so I coasted the high of solving the problem into completing the rest of the page. Every time I feel unsure of myself now, I just remember this incident and remember that I can always fix the failure, so it’s not a big deal if I fail the first time, or draw something that isn't up to my standard. Because I can just use that failure to build something better later.

You're not going to get better unless you keep pushing yourself. I think there is a lot of pressure in this day and age to post everything online. But sometimes it is OK to just create your ugly/cringy/messy/sketchy/awful art in secret until you get to a point where you feel like you can post something that looks nice.

Sometimes it is hard to see improvement until you look back on your old work.
Here is an example of a awful comic I made 10 years ago.

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I feel that reaching out for advice is good. I know sometimes it can be hard, especially if you feel like you have a lot of areas to work on. Sometimes it is easier to focus on one area at a time. Like when making a new page think "I am going to focus on improving my backgrounds in this one". And on another page you go "I am going to experiment with different shot compositions", etc. It helps make things less overwhelming.