Doing a degree in game design is like trying to become a doctor by only taking classes on how the lungs work. Learn the basics now, specialize later. You're just fucking yourself if you do a game design degree, especially since most game companies aren't hiring very often, and if they are they're ONLY looking for people with experience.
This is so much more valuable because instead you will end up with a more diverse "toolbox" to solve problems with than someone who took a course that was so limited in scope they can't see beyond what they learned.
Haha I'm really glad you said this, last year a CS teacher at my university retired (luckily I got to have him for a class first), he was a really old guy who started the first CS program at the school, and most of the other CS teachers there were his students before. Because of this, all of the CS teachers there always reference the fact that he would constantly talk about how you can't just copy code down, you have to learn how it works and what it means, and then "add it to your toolbox and make it your own". It's pretty much a joke around our CS program (not as in the idea is a joke, just quoting that line is a joke--it's really very good advice!)
You know, I don't really see how you CAN get a legitimate degree in game design. The amount of cutting corners you'd have to do compared to a CS degree would have to be insane, because after two years of my CS degree I would still have a hard time coding a game without doing a lot of independent learning. You'd have to do a lot of cheating and leave a lot of important stuff out in order to be making full games in the same amount of time, and no one would hire someone who didn't learn the things you'd be leaving out.