I think there's advantages and disadvantages to either approach. In this case, the thing I like about it is having them talk through their reasoning, regardless of the domain. If it's a domain they're familiar with I get the benefit of their knowledge, but it also takes longer because the specificity raises a lot more questions. If it's an unfamiliar domain, I get a glimpse of their creativity with a problem they haven't previously considered.
If anything, it sounds like "ping pong ball" problems have become cliche. That makes them less useful: it doesn't represent my creativity, and it potentially leads to them reciting rote answers from "cracking the interview" books.
Fortunately, I can come up with a thousand problems off the top of my head. How many letter "e" in the New York Times every day? How many sodium atoms in the ocean? How many people at the Nobel Prize Ceremony?
The more off the wall the question, the more I'm testing how they handle the unfamiliar -- as well as conveying who I am. Which is part of the point. They should be interviewing me as much as I'm interviewing them.