Unfortunately, XBO's BC is not the best example. It's not working without mandatory cloud download of the corresponding "optimized" game image from MS servers.
It's not like you can just put X360 disc and play (you can store all your downloaded versions though)
No,but why would I want that when i am 100% Digital.
I just want the game to stay in my library so I can play on whatever Xbox console I will own next. No hassle with keeping disks everywhere. Just download and play.