This is one of the things that LLMs seem to be struggling with. They're very good at tone, and feeling right without actually being write.

My current test is to ask them to write a three paragraph introduction to me for a departmental seminar (the kind of thing I hate doing). Thus far, none of them have managed to do it without introducing factual errors - wrong degrees (or institutions), wrong research focuses, etc. But they're all credible sounding in their wrongness.