It isn't just the athletes pushing themselves.....as many of the skaters are in their teens. The coaches are setting up the training schedule, the periodization cycles,etc. There is a greater need for research into how many repetitions are really needed ESP once a skill is learned. And, then the repetitions of jumps needs to be monitored each day. CoP has made greater demands on the skaters bodies......and it is showing up with the long list of injuries, particularly the last few seasons.
It is possible that although coaches have adapted to the logistical demands of the new skating system (such as how to lay out a program), they haven't really made a study of how those demands affect the bodies of skaters. That's a physiological study that would take more resources (financial and scientific) than some local coach can summon up. Maybe this is something that has to be studied at the federation level and then disseminated out to coaches? There might be some sort of defensive training program that skaters could be taught.