It is the thing that they could only have a certain number of colors for each pallet, and they probably decided to use the same pallet for Link and Bunny Link so it would be easier to make.

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Sig and Avi by Moop
My Zelda games - LoZ(GBA and NES), Zelda II(GBA and NES), ALttP(SNES), LA(DX), OoT/OoT MQ(GC), MM(N64), TWW, TMC, FSA, TP(GC), PH
Beaten - All of the above except OoT MQ, MM, and Zelda II