That's what happens if a user who is gold-badge-holder dupehammers a question and then finds somewhere a spare diamond:
Looks great, I must say. But what's the need?
I think that the badge icon should be removed then.
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The two icons serve different roles.
Suppressing the badge icon would be misleading, because it'd suggest that animuson used diamond-mod power before he in fact had it.
Elsewhere, I proposed that Binding closevotes should be recorded for moderators as they are for gold badge owners; that is, the closure banner should have an indication of binding vote (of whatever kind) that is distinct from the current moderator status of the user.