What a hallucination actually is
A language model generates the next likely token given everything before it. It has no database of verified facts to consult and no internal flag that separates a remembered fact from a plausible-sounding string.
A hallucination is what happens when the most likely continuation happens to be false. The sentence that follows is fluent, correctly punctuated and confidently phrased, because confidence is a property of the prose style rather than of the underlying knowledge.
That distinction matters more than any statistic about error rates. A model does not produce hallucinations at a constant background rate; it produces them where its training data was thin, outdated or contradictory, and it produces them most readily in exactly the places where specificity is required.