Got a Shield Android TV here, which is about the most powerful. Gamecube games run (for the most part) pretty well at 480p, though not perfect. Wii games? Struggles really - NSMBWii runs at original resolution with frameskip on, OKish, but I tried a couple of times and gave up. Nothing else I tried was worth the bother as it was too slow.
Now the Switch runs slower clock speeds than that, and even lower on the GPU side when undocked - never say never, but at the most, with a bit of trickery, we might get (some) Gamecube VC running at original resolution. Personally I think Wii is a bit of a pipe dream (would love them to prove me wrong though!)