It might appear as a strange question, but after failing so many interviews with Goog, FB, Aws and few more similar companies - It's what I'm about to conclude. Now, I've a pool of interview questions. So, when I ask them those questions, they really don't have credible answers. So, not sure, how they are judging me.
I'm starting to believe - if as an interviewee, you come across as smarter, the interviewer might feel threatened and may fear that - if they select you - then you might progress faster than them. So, it's better for them to reject you.
If you're interviewing at pooled hiring places like at least FB and Google, asking questions about a particular manager's style is not going to be useful anyway; chances are, if hired, you won't work with anyone you interviewed. If that's an issue for you (and it's fine if it is), then you should clarify that before interviewing.
I definitely think you should ask questions, just carefully select which questions. I usually try to ask about company culture, the team and the expectations of the role itself.