The difference between working with LLM you don't trust rather than with people you don't trust is that you have no social obligations with LLMs.

If you want to work with untrustworthy people, you not only have to double check everything, which may be tolerable but you may also need to do some social gymnastics, as people usually don't like be told they are full of shit.

LLMs don't mind, you can correct them, kill the conversation and open a new one with a clean context, even insult them if it makes you feel better with no negative consequences.

In fact LLMs love to be corrected, and it is a common trap, as they will happily use your correction as fact and build around it, without pushing back even if you are wrong. So if there is a negative consequence to tell them they are wrong, that's it, LLMs won't hold a grudge against you like people do, but it may trigger more hallucinations.