I think this depends entirely on the question.
Some questions are too broad because without a specific pet, or even a specific type (or breed) of the pet (like small dogs, or Golden Retrievers) to provide a frame of reference you could write novels about it. How you would respond about a dog is different than how you would respond if the question was about a cat or a goldfish.
However, there are some questions that are less about the pet and more about the human relationship with the animal, in which I don't necessarily think can or should necessarily be confined to a specific animal.
I've asked one myself:
And I wasn't told that it should be about a specific pet, because it is not about the specific pet but about getting the insight of animal lovers on how they recommend telling if my kids are ready for the responsibility of a pet (any pet)