Two things real quick from a current Citadel cadet: 1. The Citadel doesn't tolerate hazing, at all. As a matter of fact, many (parents and administration included) feel it's far too lax in terms of it's 4th Class system, but this is mostly due to a historic trend/reputation of a tolerance of hazing. Obviously, no college administration can fully chaperone it's student body so the cadet leaders who prefer a tougher system (ranging from just that to the things that truly are hazing) usually get away with it. Not stating which is better, I'm a Junior Private just trying to graduate with as high a gpa as I can and get my first branch choice.
2. I have NEVER heard of anyone reapplying to the academies and getting shot down like that. Not many reapply, but those that do aren't faced with that kind of unprofessionalism, at least not publicly. Both in the terms of fellow cadets and administration. I actually helped a close friend start reapplying knob year, but he decided to stay.