I think the Frankfurt definition is a bit off.

E.g. from the paper ChatGPT is bullshit [1],

> Frankfurt understands bullshit to be characterized not by an intent to deceive but instead by a reckless disregard for the truth.

That is different than defining "bullshitting" as lying. I agree that "confabulation" could otherwise be more accurate. But with previous definition they are kinda synonyms? And "reckless disregard for the truth" may hit closer. The paper has more direct quotes about the term.

[1] https://link.springer.com/article/10.1007/s10676-024-09775-5

You're right. It's "intent to persuade with a reckless disregard for the truth." But even by this definition, LLMs are not (as far as we know) trying to persuade us of anything, beyond the extent that persuasion is a natural/structural feature of all language.