More interesting part probably worth highlighting: The SAME model won't always return the same output when prompted with the same fact check.

You ask a human 1000 times a fact check question, they say the same answer 1000 times. You ask an LLM the same question a 1000 times, your results could vary significantly.

Humans work based on the Metamemory (knowing what they know), while LLMs are picking from statistical probability.

That is not true, over an extended task that you cannot keep complete in memory humans do not behave with 100% consistency.

I have labeled datasets with a human team and shown the same task to the same user on a different day, and they answered differently. Of course, they are usually consistent with themselves most of the time but not always.