Hmm, I do not have an unpatched console to check and see if a firmware update is what is blocking gamers right this moment. But if that's the case, I would think just disabling internet would let you continue playing?
EDIT: I think the confusion is the title saying "any digital or physical media". I do know of games that require persistent internet and release with Day 1 patches. But this implies that putting a disc in right now just doesn't work.