There is kind of a symmetry to it. Get a question that the asker has studied and watch the answerer squirm. Seems like it'd be more fun, and probably more insightful, to take turns... :-)
So then you're advocating for an appeasement ritual? Most interviewers would rather feel smart than talk to another person as an equal. More than a few times I've seen candidates disqualified because they made the interviewer feel inadequate. Who exactly is the asshole in that case?
No, I'm not advocating for anything like that. But if you want to deliberately make fun or piss off your interviewer, remember that that may have later consequences on your career. Nothing you do is in vacuum and there's no such thing as "just business" when insulting behaviour is involved.
(Obviously, this goes both ways, shitty companies tend to have trouble getting good people to interview.)