"I ask them to give me a source for an alleged quote, I click on the link, it returns a 404 error. I Google for the alleged quote, it doesn't exist. They reference a scientific publication, I look it up, it doesn't exist."
To experienced LLM users that's not surprising at all - providing citations, sources for quotes, useful URLs are all things that they are demonstrably terrible at.
But it's a computer! Telling people "this advanced computer system cannot reliably look up facts" goes against everything computers have been good at for the last 40+ years.