If you don't believe Jeff Atwood, I'm not sure why you'd believe me based just on my anecdata, but at a previous job I gave a simple filtering programming task to interviewees (not exactly fizz buzz, but very close. Single loop, multiple 10-line solutions possible).

Out of 10, only 1 solved it well, 2-3 solved it acceptably (only edge case bugs), the rest never solved it, or had obvious bugs or code that would never pass peer review.

Of course, I could just be a shitty interviewer, but I always had a (changing) peer present during interviews, and I hope we were an honest enough company that they'd tell me if they thought I was.