There is a huge difference between the GameCube/Wii U versions and the Wii version of the game. Apparently they didn't want Link to be left-handed on the Wii version, so they mirrored the ENTIRE GAME. Couldn't they just mirror the Link model? Why take the hardest decision?
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They did this because of the wiimote controls. They wanted to avoid reprogramming link. Mirroring link would mean they have to mirror every item link holds, and mirror every door he opens. Mirroring the world was cost-effective, and easier for Nintendo to program! :p