> Currently criticising LLMs on hallucinations by asking factual questions is akin to saying I tried to divide by zero on my calculator and it doesn't work. LLMs were not designed for providing factual information without context, they are thinking machines excelling at higher level intellectual work.

I would agree with you, but they're currently billed as information retrieval machines. I think it's perfectly valid to object to their accuracy at a task they're bad at, but being sold as a replacement for.