Though you have a physical copy of the game, I don't discount a future where a console refuses to load a physical copy of the game because DRM impedes it. Much like when short-lived TLS certificates expire on their own, even by being offline.
Physical copies of games have in their EULA that the game is licensed to you, so theoretically they could still disable it.
Precedent? BlackBerry phones refused to connect to WiFi if you didn't pay for your mobile data plan. It became a 2G brick.