The Legendary Edition and the Collector's Edition are two different things. I have the exact opposite problem. I bought the collector's edition for the one and only TTK for my 360. Guess who can't equip his exotic class items and exclusive shaders on the 360? Me.
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Yes. Completely understood. However, this is not about access to an activity. This relies upon two statements from Bungie: 1. Legendary is COMPLETE. 2. All characters, items, abilities, etc transfer between console generations.