By its very ubiquity, FizzBuzz is a beautiful filter. It's shocking how many interviewees can't do it, so bullets dodged. Then for those who regurgitate the conventional solution, extend the problem to FizzBuzzBang with Bang when divisible by 7, and see if light dawns.
I dislike your tools based "do it live" test unless you pre-configure their preferred tool chain end to end. Many devs are rote in their tools of choice while lost in anything else. That's ok.