The problem with this question is that you are probably talking to a HR flunky at this point. It's a good question if you are interviewing with a particular department, but not something your average recruiter is going to have a clue about.
Oh I totally agree. I really dislike interviewing with anyone that I'm not going to be working with. It seems like that is a one way interview in that case. Why ask questions if the people who are answering them have no clue what the answers really are?