Would a gamecube controller work for Wii retro games that you would buy on WiiShop Channel?

Would a gamecube controller work the same way as the wireless retro controller in the sense that it would also work for the retro games you can buy on the Wii Shop Channel such as: N64, Super Nintendo, NES, etc. Or would those old-school games only respond to the Wii wireless classic controller?

Related Blogs

• Nintendo GameCube: Limited But Functional | amelia ineame blog
• gamecube portable casemod? on [technabob]
• Information About Wii Virtual Console Games | Copy PS Games
• Game Online Reference » Blog Archive » Rent Wii Games
• Buffalo Nintendo Super NES PC Game | Gaming Gadgets at Hardware Sphere
• nintendo nes cartridge harmonicas: cute or stupid? on [technabob]
• nintendo nes cartridge harmonicas: cute or stupid? | nexgengadget.info
• Retro Style USB Nintendo Super NES PC Game Pad | Neo Gadgets
• Nintendo Wii Classic Controller Pro | Gear Patrol
• Rock Climbing Game in Development for Nintendo Wii at Backcountry.com: The Goat