Improving LLM's hallucinations is not a theory, it's a reality right now. In fact, developers do it all the time.

> the burden of proof is on you; skepticism is warranted.

I can prove it. You can test it too, try it: after LLM's answer, say 'please double-check if that answer is true'.

Now that I've proved it, right?

(I'm not saying it's perfect, I'm saying it can be improved. That alone makes it an engineering problem, just like any other engineering problem).