Why doesn't the interviewee ever ask the interviewer a whiteboard or puzzle question, "to see how you think?"
During the last interview, I've had similar thing happen to me -- after we discussed whiteboard design question, the candidate asked, "how would you solve this?". This resulted in a pretty nice exchange of opinions. In a somewhat related point, last time I was designing the coding question, I tested it on my teammmates. They all solved it, and their response was very helpful, and it allowed me to clarify some points…
But did they all solve in under the interview conditions? ( time pressure, coding infront of strangers, possiblity of not getting the job that you need etc).
I can pretty much solve all leetcodes on my own computer with noone staring at me like hungry wolf eyeing its next meal.