Instead, they can only prevent copies from being distributed.
Even if we limit our area of consideration to just Copyright, you're just wrong. As the world currently stands, you probably get your music from a streaming service. That streaming service doesn't grant you the right to copy, perform, or adapt the music you listen to, they extend you a limited license. If you are in violation of that license, they likely reserve the right to terminate your access to the music. If that license said you weren't allowed to be upside down then standing on your head would allow them to prevent you listening. It does not matter that Copyright doesn't explicitly mention "listening to music while upside down" because your use is not mediated by copyright, but by the contract you signed.
Copyright does not govern how those individual contracts are formulated. We have Freedom of Contract in most of the western world. It provides a framework by which that contract even makes sense (they have property you even care to license with a contract), and a remedies should you violate it.
So, once again, the point stands.
If the law did not work that way, then the GNU GPL would not be enforceable.
The GPL for example required that if I distribute a derivative of a GPLed work in binary form, then I must also distribute the same derivative as source code or at least provide the source code to any distributee who asks for it. This requirement of the GPL has been enforced by courts (e.g., in a lawsuit against Tivo) even though none of the defendants in these court cases signed a contract regarding the use of the software.