You don't own the data. You own a piece of plastic and some foil. The foil is pitted with data. You don't own that data. You do own a mostly worthless piece of plastic.
If you don't think they can revoke your access to the data on "your media" you haven't been paying attention.
There's plenty of gaming consoles out there that never went online to get there license agreement for their DVD player or Blu-ray players and they can't play Jack shit. There's plenty of drives out there that are region locked so if your media isn't from that region you're not going to play it.
Of course the same applies to digital media and things like YouTube and other streaming services.
Again, you don't own shit except a worthless piece of plastic and a little fragile bit of foil with all that juicy data.