Pride is only a bad thing when it becomes excessive. When that happens, it can blind you to reality, cause you to perceive yourself as better than others, and cause you to treat other people poorly. By contrast, a modest amount of pride in yourself and your craft is quite healthy. You put a lot of time, effort and skill into the things you make. You deserve to be proud of them, and proud of your improvements over the years!
I know what I can and cannot do by comparing my work to that of other artists. I think I have a fairly clear-eyed perception of where my strengths and weaknesses are, and where I am in my artistic development. I really like my own art, but I'm also extremely critical of it. Those seem like they shouldn't go hand-in-hand, but they certainly do. You want to both enjoy what you make, but be wide awake about how it compares to the standard of work around you; whether that's other webcomic makers, or industry pros, depending on what you're aiming for.
I'm also well aware that grinding to the point of exhaustion simply because I think I should be able to do it is not an adequate solution to artistic weaknesses; instead, healthy and consistent practice over an extended period of time is better. I know this because I teach, and I know how people most effectively learn. Smaller sessions of practice, done consistently over months, is both better for your physical and mental health, and it's more effective. When I'm frustrated, I remind myself of that, and ask myself to be patient. It's hard and frustrating, but after a few days my emotions about it will cool off, and I'll be feeling better again.