It depends on the details and what the alternative is. With a lot of my friends LLMs are more accurate than whatever nonsense is on tiktok and similar. The number of people I know who verify things from scientific papers and the like is very low.

I do spend some time on the bedbugs subreddit and LLM failings come up a lot because they are very bad at figuring if a photo is a bed bug or not. So I say don't worry, AI is crap at that.