The issue with that is that inheritance only makes sense for tangible, scarce resources. Having copyright isn't easily analogous to ownership of a physical object, because an object is something you have and if somebody else has it, you can not have and use it.

Copyright is about control. If you know a song and you sing it to yourself, somebody overhears it and starts humming it, they have not deprived you of the ability to still know and sing that song. You can make economic arguments, of deprived profit and financial incentives, and that's fine; I'm not arguing against copyright here (I am not a fan of copyright, it's just not my point at the moment), I'm just saying that inheritance does not naturally apply to copyright, because data and ideas are not scarce, finite goods. They are goods that feasibly everybody in the world can inherit rapidly without lessening the amount that any individual person gets.

If real goods could be freely and easily copied the way data can, we might be having some very interesting debates about the logic and morality of inheriting your parents' house and depriving other people of having a copy.