If you were correct, then your question (why are they so gullible) would not have to be asked, because they would not be gullible. So you are wrong, somewhere.
We have no idea whatsoever how LLMs can seem to behave intelligently. Therefore making analogies with how we behave intelligently (a thing we also do not deeply understand) is not going to tell you anything.
We have no idea whatsoever how LLMs can seem to behave intelligently. Therefore making analogies with how we behave intelligently (a thing we also do not deeply understand) is not going to tell you anything.