All responses are hallucinations; some of them are close enough to what we want to be useful, others not so much.
LLMs is just generation. Whatever pattern they embedded, they will happily extrapolate and add wrong information than just use it as a meta model.
Similarly, suppose I always roll dice to determine tomorrow's winning lottery-ticket number. Getting it right one day doesn't change the mechanism I used. Some people might assume I was psychic, but would be wrong.