On PS3, I set up my PSN account on my best friend's PS3. I can play my digital games there too. But it's only up to 3 PS3s. ^_^
There are rumors that Steam is looking into digital sharing/borrowing. I won't see the current digital game DRM implementation as the final one. The digital age is most definitely not defined by Xbox One alone.
For disc games, it's supposed to be free from the digital restrictions. Yes, you can carry it with you, lend it, rent it and resell it.
You can have both.
I certainly don't see offline media as ancient. I totally expect us to be able to store large amount of information in our clothes in the future (without the need of fragile network). Wearable computing should be fun too, with "freedom" DRM.