We've been reading highly-informative articles with "bad English" for decades. It's okay and good to write in English without perfect mastery of the language. I'd rather read the source, rather than the output of a txt2txt model.
* edit -- I want to clarify, I don't mean to imply that the author has ill will or intent to misinform. Rather, I intend to describe the pitfalls of using an LLM to adapt ones text, inadvertently adding a very strong flavor of spam to something that is not spam.
But I also think it's a different thing entirely. It's different being the sole reader of text produced by your students (with responsibility to read the text) compared to being someone using the internet choosing what to read.