Irrelevant. Its GameCube release was highly limited, its main release was on Wii, ergo it is a Wii game. Eternal Darkness was initially developed for the N64, as was Starfox Adventures. Doesn't mean they should be considered N64 games. Fact is, even if TP were somehow classified as a GameCube game, it doesn't justify the console's general lack of ideas, its mediocre first party support and limited library of third party games, let alone good ones.
As for innovation, if an idea doesn't go beyond a single title, it's a gimmick. The bongos might have been OK for that Donkey Kong game, but had no wider practical application and showed Nintendo desperately struggling to devise an idea which stuck. Same goes for the wildly unwieldy GBA connectivity.
We obviously disagree about the quality of Wii Sports, which I and my family greatly enjoyed and IMO showed how motion sensing could create a new gaming experience liberated from the complexity of buttons and with greater physical immediacy. The Wii's inconsistent tech and subsequent sub-par imitations and implementation (even in Nintendo games, like the pointless waggle in DKCR and Galaxy) may have wasted that potential, but games like Red Steel 2 and the Tiger Woods games show it was not only viable in a traditional gaming context, but could enhance those experiences too. Even if we disagree on that, there's no question that pointer controls represent the greatest innovation of the previous generation. The GameCube could only offer the Wavebird, which was great and important but essentially a luxury, changing nothing about how the actual games played. On that score, the Wii's 'split' controller (one unit per hand) is hugely underrated.