I strongly disagree. Almost every question in philosophy that I've ever studied has some camp of philosophers who reject the question as ill-posed, or want to dissolve it, or some such. Wittgensteinians sometimes take that attitude towards every question. Such philosophers often not discussed as much as those who propose "big answers" but there's no question that they exist and that any philosopher working in the field is well aware of them.

Also, there's a selection effect: people who think question X isn't a proper question tend not to spend their careers publishing on question X!