When asking AI to improve the text, I ask it for feedback. It might come with suggestions for changed sentences, but I then try to capture the essence of the suggestion while rewriting the sentence myself. Perhaps what the AI wanted was to add a caveat, or use a more careful phrasing.

I then respond with my rewrite and ask for feedback again.

At least this lets me keep the writing mine, while avoiding blatant errors.

That said, I don't do this often, never when replying on forums like this, only when say writing documentation or similar. English is my second language but people will just have to deal with it for the most part.