I think it's a little odd to ask directly. If you are evaluating an interviewee for "culture fit" as in your example, would you directly ask them "how would you fit into our culture?" or try to evaluate their thought processes, demeanor, etc to determine it for yourself?
Perhaps it's just the context from which this conversation arises and it wouldn't strike me this way otherwise, but asking these questions directly feels a bit too much like college application boilerplate to me.
If a team wants to prioritize a diversity of perspectives, I feel the team should spend the interview trying to understand my perspective, analyze how that compares to their own perspectives, then synthesize the answer to the question themselves rather than just adding a "How will you contribute to a diversity of perspectives?" question.