Frankly speaking, you are the second (with this thread, the third) one, who says that. So, it looks that I really should write myself again with just grammar checks, not the style.
If you're going for just grammar and spelling, Grammarly has been around for ages and doesn't try to rewrite everything. I'm a native speaker and I don't trust any LLM to retain my style because diffing paragraphs or reworking sections is tedious as hell. I'm reeeeeally lazy and the only workflow I am tempted to do is a rough draft from an LLM, a full rewrite from me, and something like Grammarly for small mistakes. Anything over a single iteration feels like pulling teeth because it's never as subtle as you tell it to be. It truly feels like giving a typewriter to monkeys.
It's easy to falsely assume readers expect you to be native, or that they are even native English speakers themselves
Or that they want AI text over imperfect English
What I've done a few times is have the AI provide feedback, and then I rewrite myself based on the feedback. So I don't use what the AI suggests directly, just the essence if I agree.