Can I offer a different phrasing?

It's not coincidence that the answer contains the facts you want. That is a direct consequence of the question you asked and the training corpus.

But the answer containing facts/Truth is incidental from the LLMs point of view, in that the machine really does not care, nor even have any concept of whether it gave you the facts you asked for or just nice-sounding gibberish. The machine only wants to generate tokens, everything else is incidental. (To the core mechanism, that is. OpenAI and co obviously care a lot about quality and content of the output)