Of the three, Breath of the Wild.
Switch was a success even before Animal Crossing and COVID, though these compounded its success.
Mario Kart 8 didn't save Wii U, and Deluxe isn't different enough to warrant giving it credit for SW's success.
Open world Zelda was bound to be a big hit for the time it released. BOTW released on Wii U too, but if you didn't have a Wii U (which most people who bought the game didn't) and you wanted to buy BOTW, then it made more sense to buy a Switch to do so, since it had a future.
If Breath of the Wild released in 2013 for the Wii U, the Wii U probably would've been a success as well. Probably nowhere near as big as the Switch (or even Wii), but probably SNES-level lifetime sales, with a longer lifespan than in our time-line. It might have been framed as a failure compared to Wii, but still successful as far as Nintendo would be concerned as a company.







