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sigh...if eel liek no one is trying....the badge is related to keyblades, maybe the badge creates a chain to connect to the charm.
I still don't see how that would mean Riku's Way to Dawn would be connected to Terra. If anything, just because it shares a partial bit of TAV's Keyblade School Emblem, then that would mean all of TAV and possibly MoTAV would be connected to it as well, along with Roxas.
Well maybe your on to something but a better conparison would be the heartless symbol and the emblem