It's actually very easy to convince an LLM to output perfectly natural text, it's just that their default mode is that verbose corporate boilerplate speak.

You can request responses in some specific style by the name of a popular author, or just provide a bunch of examples for it to copy.

I like responses in the style of an "Encyclopaedia Dramatica article", which tends to be both hilarious and also a bit less guarded and hence more honest.