GCN: Luigi's Mansion. MK:DD!! Released two years later.
Wii: LoZ:TP. MK Wii released two years later.
Wii U: No Mario/LoZ game. MK8 release two years later.
Switch: LoZ: BotW. MK8D almost two months later.
Mario Kart might be a console mover but it's not a console launcher which it carries more importance because it helps establish user base. Usually a console launch day experience is a single player experience, not a party one. Nintendo knows this, that's why MK is used as a mover not a luncher.