A photograph or a tracing made with an optical device is a mechanical reproduction of the original work, but it has its own copyright because there's a human in the loop.
A forger takes skill and creativity to make a copy of an existing work that is so good it cannot be distinguished from the original. By your assertion, the forgery should have its own independent copyright.
Why wouldn’t that be the case? Each performance of a song is uniquely copyrightable.