TL;DR: LLMs are just mimicking natural language and conversation. Fact checking and healthy skepticism is not part of their model. For example they can be easily tricked into advocating conspiracy theories, like a fake moon landing. Google Bard is even stating arithmetic falsehoods like 5*6 != 30
I tried to use ChatGPT help speed up my writing, like I tried using “give me a brief history of Queen Dido’s relationship with Caesar” when working on a character inspired by Queen Dido and then it gave me completely false information relating to some other historical figure.
Until it can get more trustworthy in that regard I’m not sure how effective it is for writing assistance let alone writing the entire paper by itself.