Battlefield 4 Premium Upgrade for Xbox [ Edited ]

[yeahicampso]

If I buy Battlefield Premium for the Xbox 360, can I still get the Xbox One version free?  If so, do I need to register the game on the 360 first, or when I purchase it on Xbox.com for the X360 and go to my X1 marketplace, will it show up for free? I currently play only on the X1, though I plan on getting a 360 in the near future and don't want to spend $100 on two separate Premium subscriptions if I can help it.