It's entirely possible that Near does not precisely know where the line is drawn between seeking general knowledge and being a nosy nuisance. And even if he does, he is unlikely to care. For his part, he is at the moment merely noting an oddity and wishing to understand it, whether his questioning is appropriate or not.

Taking a card from the deck is far less irritating than taking one from the tower. This time, there will be no reaction. But he does notice the inhuman perfection of that hand in stark contrast to the other one. That's interesting. "So you aren't human, despite appearances?"

Yes, he is still failing to answer the question. He might need to be told this is an exchange. And even then, it depends on how badly he wants the answers to his own questions that he will play along.