This is an angle for people who default to AI-edited written speech that I've tried to be more empathetic to. I think it depends on your audience, but in professional writing that isn't published publicly (i.e. communication with your colleagues, design docs, etc.), or even the "rough draft" form of something that will be published, I think starting with your own words comes across as way more authentic.

I've seen enough GPT-generated slop that I find its style of writing very off-putting, and find it hurts the perceived competence or effort of the author when applied in the wrong context. I'm not sure if direct translation tools serve a better purpose here, but along with the other commenters, I personally find imperfect speech that was actually written "by hand" by the author easier and more straightforward to communicate with despite the imperfections. Also, non-ESL speakers make plenty of mistakes with grammar, spelling, etc. that humans are used to associating with "style" as authentic speech.

It can also become a crutch for language learners of any age / regardless of their primary language, that inhibits learning or finding one's own "style" of speech