It's really a quite different set of law because the whole point of a trademark is that it uniquely identifies a particular seller so that buyers can distinguish it from others in the market. If that identification weakens then your trademark becomes meaningless and can no longer be enforced. But that logic doesn't apply to copyright.
In my opinion something similar should apply to orphaned and abandoned works. Especially, considering how long copyright lasts.
I think the creator of a work should be allowed to unpublish it but only if they own it entirely.
If other parties own it they should be required to make the work available without interruption or barriers and at a reasonable price.
If a recording was left to rot in some archive to the point others have a noticably better copy you've failed the obligation.
Anything that broadly looks like buying rights for the purpose of destroying the work should be stopped.
Objections should be written down and burned in a special ceremony.