I'm not so sure about that. A few years ago I looked for historical university cost data. I didn't find much, but when I graphed what I did find I did not see any noticeable change in the rate costs grew between before the availability of cheap loans and after their availability.

Beat me to it and you're absolutely right. There's no need to guess what's going to happen here, we've already seen what happens elsewhere when the government injects a lot of money.