Yes. Fizzbuzz is redundant, perhaps by design. If you start thinking to optimize the redundancy away, like “why do I need to divide by 15, if I am already dividing by 3 and 5”, you spend some precious 30 seconds thinking, and look exactly like an idiot who doesn’t know how to program at all.
The secret there is to vocalise your thought process. Interview puzzles are as much about assessing the candidate's critical thinking skills as they are a filter for programming knowledge.