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So Wyrdeer (weirder + deer + wyrd, which means fate) pretty obviously is based on the princess mononoke deer. Which more or less is the Shinto religion deer. In Shinto a deer, ESPECIALLY a white one, is a messenger of the gods. . . So y'know, Arceus. I do not think it is a coincidence that Wrydeer's antlers are the exact same shade of gold as Arceus's fence posts. I think it purposely looks like Arceus.
I think new Braviary is supposed to look like it has mad scientist/Einstein hair, with thr psychic eyes maybe being wacky goggles.