You can say anything to an LLM, but it’s not going to actually write in your voice. When I was writing a very long blog post about “creative writing” from AIs, I researched Sudowrite briefly, which purports to be able to do exactly this; not only could it not write convincingly in my voice (and the novel I gave it has a pretty strong narrative voice), following Sudowrite’s own tutorial in which they have you get their app to write a few paragraphs in Dan Brown’s voice demonstrated it could not convincingly do that.
I don’t think having a ML-backed proofreading system is an intrinsically bad idea; the oft-maligned “Apple Intelligence” suite has a proofreading function which is actually pretty good (although it has a UI so abysmal it’s virtually useless in most circumstances). But unless you truly, deeply believe your own writing isn’t as good as a precocious eighth-grader trying to impress their teacher with a book report, don’t ask an LLM to rewrite your stuff.