I develop software since 1986, never needed such dummy tests to be hired.
Companies choose employees, but employees can also chose companies which can recognize the value someone brings in, besides a few programming exercises on a sheet of paper done in 1 hour interview.
As for Fizz Buzz, never bother coding it. I see no value.
> I develop software since 1986, never needed such dummy tests to be hired.
I've never personally had a FizzBuzz test, but I also have no doubts about my ability to solve it in my sleep.
I'm against trick interviews or algorithms quizzes, but FizzBuzz is again just establishing a ridiculously low baseline that you know the most essential aspects of programming. Someone a few weeks into CS 101 should be able to do it, so any professional developer who can't deserves to be immediately laughed out of the room.
FizzBuzz is only a "dummy test" in the sense that only dummies will fail it.
If you required prior knowledge of Fizz Buzz to solve it successfully, you should absolutely never be hired to program anything.