I understand that, and injuries are a natural part of sport, you're never going to go completely without injury, but for the most part, cheerleaders are injured because of bad coaching, improper technique, and not being ready to throw a skill, whereas in other sports you don't really see that (unless, of course, we compared it to sports where technique and training is more involved; ie. figure skating, gymnastics, dance, etc.)
Somewhat true, but even in football most (or at least the most severe) injuries I see occur from bad form in tackling. Coaches don't teach to keep your head up, or even teach to use the helmet as a weapon which results in neck/head injuries. Younger kids get hurt when they don't follow through on the tackle.
Point is, no matter the sport, bad coaching leads to more injuries than anything else, and a certain amount of injuries are just unavoidable.