This extends far beyond just the copyright claims. There is all sort of objectionable content being uploaded that needs to be removed, and it's easy to find literal neo-Nazi propaganda in the YouTube comments, as well as all sorts of racial slurs. Reporting this seems to have little effect in my experience.
I don't have any good answers to this problem, but it's frustrating that YouTube is so opaque in their process. I have no idea what happened to my reports of neo-Nazi content for example (it wasn't removed) and also no notification that it was reviewed but denied. I hold little love for Facebook, but in my experience their process is a lot better.