Well, you're getting me in this thread because I read those types of stories.
What you're reading may be similar to this story arc:

To be honest, isekais and reincarnation stories are interesting but the plot seems predictable that the characters become scripted or obvious. In my case, I may be using that trope but I wanted my story to stand out from all that.
I'm proud that you get the difference between a character driven and a plot driven story. Even if you write a cliche story, its the characters that will make the story amazing compared to the plot driven one which just makes the story still cliche and un-amazing. You get what I mean?
This question makes me ponder on Alist, my MC.
She also came from a life of abuse in her past life but ends up in a new world having a good family who were oblivious of the terrible future only Alist knows because she read the "novel". I placed Alist's story on hiatus just because of a question similar to this reflection.
It makes me wonder why my MC is going so fast and takes on the new world calmly. My struggle here is that Alist has two parts to act upon: as a child and as an adult. The growth and regression of the character comes tough here because she needs to mature but at the same time experience normal childhood [or act childish].
I tried adding up some wounds or bad habits she got from her previous life such as slouching which she got from carrying bricks in illegal child labor. She will struggle on that because her education includes etiquette and posture.
It can be as simple as that with little details of the past being mended in her new life. There is advantage of having knowledge two eras or time periods. My MC gets the best and worst of both worlds.
For the emotional/psychological wounds to heal over time, you can take it as a haunting dream occurring in her brain. Like in my case: my MC still dreams of her last moments dying in her ex-life. Her dreams somehow influence the growth of her magical ability.
From painful dream [psychological wound] to the development of her main power [growth], you can see a character driven transition. This, for me, is fine detail that I can continuously carry on regress towards my story.
Knowing too much about the future is a double-edged sword for Alist as well.
If you wanna balance that kind of thing with your MC, give something that will bother him/her forever and how that botheration becomes a stepping stone towards becoming strong or wholesome little by little. You don't have to make that growth more obvious but that's up to you. That certain growth should surprise us, too.
Well like you said, focus on your characters first and let not the plot of the story enslave or script the life of your MC[s].