They are a public Japanese company - if the shareholders vote for a deal it will happen. I'm sure Apple would let Nintendo go about most buisiness as usual (game design, controller design etc) and just act as their chip / OS supplier.One problem. Nintendo is very much a Japanese company. I don’t ever see them selling to an American company. Even for billions.
The Switch is already very Apple-like with the dock and portable modes. Imagine being able to play a game on your Apple TV and then transferring from where you left off on an iPad (or iPhone) with the controllers seemlessly syncing debetween devices (like the airpods do). Spacial audio would enable surround sound on the go too.
Unlikely for a buy-out to happen now as the market cap of Nintendo is too high (~$74bn) - it was ~$11.5bn back in 2015 which was the time to do this.