Xbox Usage Rules for Xbox 360 Digital Games clearly states "How many consoles can I use a game on and who can use it?
You can use games on the first Xbox 360 console you downloaded it to. Access to the game will also be granted to all users on the first console. If you transfer the game using a memory unit or other storage device, you will also be able to use it on other Xbox 360 consoles, but you’ll need to sign in to Xbox Live with your account on that console before accessing the game. "
Here's a link in case you're sceptical:
http://www.xbox.com/en-US/legal/usage-rules
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Yup, they have to follow the console terms. Disappointing that they haven't told us what's going on. Even more disappointing that they haven't edited this uninformed BungieHelp statement.