I urge you to think about what you mean by "It can happen with a human."
I guarantee you that if you try this with humans 1,000,000 times (cold start), you will never get the result you are suggesting is possible. In fact, most results will be of the following form:
Q: How much is two plus two?
A: Four.
Q: How much is two plus two?
A: Four. / Four? Why are you asking me again? / ...Four. / etc.
In the end, I think the question is not about whether NNs are themselves operating in a way similar to human cognition. The question is whether or not they can successfully simulate human cognition, and at this point, there seems to be increasing evidence that they will be able to fully do so quite soon. We are quickly running out of fields where we can point and say, "there is no way a NN can do THIS kind of task, because X." Cognition, it turns out, is not something intrinsically special about humans, and it feels foolish (to me) to continue to believe so after recent developments.