I agree that you cannot find a program in a school that can teach you to be curious. It is not something you can teach. Either you are curious or you are not. Unfortunately, a large portion of students who want to be 'game designers' are just fanboys (or girls). I teach in a Game Art & Design program, and I work very hard on getting the Designers into the right headspace. It's rare that I have some that actually get it.
A word for people looking to be designers and going to school for it. EVERYTHING you learn is critically important to you. You may not like drawing, you may not like programming. If you want to design, you need to be able to speak with people who will be making your game (artists and coders), understand limitations, and be constantly be curious.