I think Wii helped set the generation apart and only thing I didn't like about it was really Nintendo nerfing so many games to support the gimmick, I felt that generations lots of titles are actually inferior to their Gamecube counter parts, I find Gamecube the last Nintendo console I actually liked regarding software from Nintendo
Twilight Princess, Wind Waker, Animal Crossing, Melee, Mario Sunshine, Metroid Prime, Luigi's Mansion
Then its like, waggle Zelda, slow as shit nerfed Smash Bros, Mario set on fucking easy with Galaxy mario party ass controls lol I felt my DS get more love that gen and then I felt 3DS get more love the gen after and....it was clear I would just be buying Portables from them moving forward aka The Switch lol
Gamecube was the last time they supported software for the hardcore.
I think Wii still belongs as I think it gave great balance for new gamers, but for the hardcore, it was the beginning of the end regarding Nintendo's actual support for those design styles.