> Only one religion can be right or none, that must mean,logically speaking all other religions are hallucinations.
There are some mistakes in this sentence.
It is possible (if unlikely) that multiple religions accurately describe some aspects of the world, while being mistaken about others. That is, treating rigorous complete "correctness" as the only useful state a religion could have is very misleading. Newtonian physics and special relativity both fail to predict some observed phenomena, but they're still both useful (and not every religion claims rigorous perfect correctness, even if some do).
Even if some religions can be shown to be wrong, that doesn't automatically mean that they're hallucinations. People can believe things for plausible reasons and be wrong about them.
People can also have reasonable stances like "I cannot prove this is true, and would not try to, but my subjective personal experience of visions of God persuade me it's probably real."
That seems very different to me from an LLM hallucinating a paper from whole cloth out of the blue.