Graphics are not like a million times better. The Wii always had what basically amounts to two Gamecube processors, but it is nice to have the widescreen aspect ratio. I don't remember if the Gamecube had widescreen capabilities, but if it did, I never enjoyed them cause I never had the right TV for it.
So I'm taking it easy, normal, a leisurely stroll on an aliend world. I tried some fancy sequence breaking and getting the double-jumping Space Jump boots earlier than one is supposed to, but came to find out that Retro removed the patricular "bug" that allowed you to do that. So I'll just be playing the game the way you're intended to.