Depending on the one who answers, it could be a philosophical question.
Ask yourself, is it even a question if the one who states (instead of asking) that particular question only asks if it's philosophical properties can be determined as philosophical in itself? It could be a question, but only if it was a question that was being asked. However, I'm looking at the real question and since the hypothetical question is inherent of the real one it becomes a question. So, I have to say yes whether or not it's being asked because the manner in which it is questioned is philosophically.
This is a situation where the real question would've been answered by the hypothetical question. So, it is ("What is philosophy?") therefore a direct rhetorical question and inherent indirect philosophical question within a real philosophical question. Despite what people believe about philosophy, it makes an attempt at philosophy like I am now in return.