GameCube Controller compatibility?

YoshiFlutterJump

Power Star
MarioWiki
YoshiFlutterJump
I’m trying to put together a GameCube starter kit for my Wii so I can play GameCube games. I found a Smash Edition GCN controller for a price much cheaper than the regular one. But I’m wondering, does the Smash Edition work on a GCN or Wii? I know it works for Wii U but I'm unsure of its compatibility with other consoles. Here’s my compatibility chart so far:

Regular Wireless Smash
GameCube YesYesUnknown
WiiYesYesUnknown
Wii UYesYesYes
 
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