Do you think the subject matter of the question is off-limits, or do you object to the way it's being asked?
I have always believed the the interview process must be a 2 way street; we are equals interviewing each other for mutually beneficial long term possibilities. The way OP presented this seemed way too manipulative for my taste; it destroyed that "equal plane" I covet.
So yes, my problem was not with the subject material, but the way it's being asked. (Which is also why I added the little ASIDE; I wanted to demonstrate that without just looking like a snarky response.)
But I do feel like it helps me learn a whole lot about the candidate without compromising that trust or condescending to them with "what's your biggest weakness?" or some such.