The Wii was not that much more powerful than the GameCube, so this is a viable scenario.
I think though Mario Sunshine would not have happened and we got a Galaxy style game earlier. The Wii does not have a second control stick for camera movement. I therefore think we would not have seen a sandbox game like Sunshine. The reason Galaxy is not a sandbox was the camera control in the first place.
I also think for this very reason we would not have Windwaker, I mean Twilight Princess was a compromise on the Wii. I played the GameCube version back in the day, so don't know how compromised the camera control was and if you needed to center the camera at the back of Link all the time with the Z-trigger or not, like in Ocarina. For this reason Skyward Sword has very linear path levels with the exception of the Sky and water, where the turning radius was big enough for the auto camera to catch up.
If overall the Wii would have reached the same or higher success as it's 2006 release? Hard to say, sometimes the right product just hits at the right time. Let's not forget it was competing with the launch of a $600 Playstation at the time as been the new shiny thing. It was like half the money. Against the PS2 it might have been harder to drum up the right excitement and momentum.







