Google (or better, use Kagi) AI hallucinations and you will get plenty of news articles with examples. Most notable one recently is the one in which an AI hallucination almost triggered a US military operation

While conspiracies would be pushing it, an illuminating exercise is to ask your favourite LLM leading political questions that cause it to assume your identity is something other than your own.

I also find Claude deeply Americentric in a lot of ways for what it's worth.

If there is a genuine conspiracy, it (edit: not Claude evidently) will take their claims at face value. A couple I've run into recently:

- why did Hollywood lobby for box office receipts to be added to the onion futures act

- do gratuities on cruise ships actually increase crew pay

In both cases it went to the official source and repeated their statements, without thinking about the fact it was blatant paltering. Only after I pointed that out did it go digging deeper and realise it was more complicated (and less favourable for Hollywood / cruise lines) than it had said

Which I'm assuming is a consequence of the post-4o anti-delusion anti-conspiracy training