At that stage we're past a verbal phone screening, 1. interview, and they've been selected for the last round of interviews and they know before hand what the nature of the interview will be, including the "deep end of the pool" question. It is far and away the best way I've found to see how well they can adapt to new things, which is important to us.
But of course, you assume it's not relevant, and that I'm asking them to do the impossible.