Each job depends on the situation and the client. If you have a beaver chiseling off maple trees in the front yard or apple trees on the back 40, then that is completely different than someone complaining about a beaver walking around on a lawn and the Disney person thinks it is grizzly what will eat the dog.
Most of the time you are going to face a situation where the young have to be killed one way or the other. It is the reality of control work. Termites have babies too, but most people do not have an affinity like they do with furry things.
There are so many beaver now that it is hard to justify transplanting, as that is in every case dumping an animal which will become a problem for another landowner, and that includes raccoon young. You though are finding out that ADC is not all pleasure. It is hard choices, it is "wasteful" as in most cases the animal will not be utilized. On the other hand though, each animal is killing another plant or animal daily to live, so you are saving those plants and animals too. That outlook might help you as you are probably never going to be the kind of person who will use the reasoning, if you don't do it, someone else will.