I hope the no sharing across the console is a mistake and will be rectified. (I wonder if the 360 licensing was done the same as the Xbox one, where a profile sets a home Xbox. Where that functionality doesn't exist on a 360 AFAIK, it means it defaults to requiring the purchaser profile to be signed in.) Just thought I'd say about the current workaround in case you missed it.
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Every other game on Xbox 360 is accessible to any profile on the Console. Games on Xbox 360 have always been tied the home console, even Destiny Year 1. I also spoke to a Mircrosofft Rep who explicity indicated that you are supposed to be able to share with profiles on the same console. I quoted him here in this thread: https://www.bungie.net/en/Forum/Post/153918231/0/0/1 If its not a bug and it's intentional? Well, get ready for class-action lawsuit.