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)

Totally agree with that. But the problem is the phrase "coincidence" makes it into something it absolutely isn't. And it's used to try and detract from what these tools can actually do.

They are useful. It's not a coin flip as to whether Bolt will produce a new design of a medical intake form for me if I ask it to. It does. It doesn't randomly give me a design for a social media app, for instance.