They gym doesn't have any policy. If you have a membership, you're free to use the facility or not. Real life doesn't have any policy either, if you have the capability, you're free to copy & distribute what you have access to or not. It is a third party that is trying to interfere with these native abilities. The ability to create something is not intrinsically tied to the ability to control it.
Which isn't to say there's anything wrong with copyright laws, per se. What I'm saying is that it is not 'entitlement' on the part of the copier, but entitlement on the part of the copyright holder to expect to hold dominion over other people's capabilities. That is the negotiated result of social processes.