You're correct in this subtle distinction, but I still mourn the fact that – for all intents and purposes – we live in a world that looks nearly the same as the one where the concept literally does not exist.
Although what is the alternative in a world where producing digital copies is a matter of pressing a button?
The whole idea of IP is to protect content creators. Those content creators sell their IP to large corporates to maximise their earning potential. Corporates subsequently take steps to protect those rights. Taking the ability to take those steps away from corporates by extension means taking those rights away from content creators. Is that what you're advocating for?
I don't actually know if my desired end-state is practical or even possible, but I can at least describe what it looks like:
* I pay $10-25 for a movie
* I can then personally view that movie with myself and my family on the display I want (the last hotel I stayed at didn't have a HDCP compatible TV so I couldn't display my purchased film on the TV)
* I am not forced to watch advertisements or piracy warnings before the film
* I can put the film on other devices I own to watch via more convenient methods (my phone, tablet, home theater setup)
Are those requirements fundamental to having a legal system that protects the rights of copyright owners? Honestly I don't think they are! Because the DRM schemes that enable the above situation clearly aren't stopping pirates in the first place. But who knows, maybe there's an alternate universe where content creators allow all the above bullet points and – as a consequence – very few entities invest in creating art! In the end if I had to choose between that universe and the one we have today, I'd still take the one we have today where art is legally well protected enough that we have a plethora of it.