Looking at the game awards its interesting to see how Nintendo is not relevant at all for game of the year except the year Breath of the wild won, they don't make the kind of games that are relevant at such awards. Back in 2020 for example Animal Crossing got 10 % of the votes at the game awards compared to last of us part 2, since then Animal Crossing sold 50 million copies.
Basically the only Nintendo games that can get any votes at the game awards are Zelda games, and even they are far behind Sony games in popularity there. No wonder Nintendo never shows up or does anything at the game awards.