Ryan,
If you graduate their program with several hundred hours and a little SIC time in a Citation...that makes you a several hundred hour pilot. Nobody is going to hire you into a Citation. You'll come out of the program qualified to teach in piston Cessnas...just like you would if you attended a local flight school or the FBO down the road. The difference is that doing the training for a higher cost with the university.
You're on the right track in wanting a degree, and getting one in aviation isn't wrong. However, consider the significance of "putting all your eggs in one basket." Every few years the aviation business tanks, and it's not uncommon to find yourself out of work. If you're going to spend four years seeking a degree, why not come out with a trade or certification or skill that isn't tied to aviation, so you have options?