Sure, I agree. That's part of me finding out if I want to work there.
The unfortunate reality is usually you're given 5-10 mins at the end in a hasty "what would you like to ask me?" so I tend to stick to the more basic type questions. Repeating across interviewers to see what patterns pop up.
That said I'm not shy about pushing back with questions during an interview session itself, and that's where things like you're talking about can get worked in. Of course if they insist on "solve this problem" type sessions, there's less of that. But it's also less likely I want to work there. So it works out for me.
The unfortunate reality is usually you're given 5-10 mins at the end in a hasty "what would you like to ask me?" so I tend to stick to the more basic type questions. Repeating across interviewers to see what patterns pop up.
That said I'm not shy about pushing back with questions during an interview session itself, and that's where things like you're talking about can get worked in. Of course if they insist on "solve this problem" type sessions, there's less of that. But it's also less likely I want to work there. So it works out for me.