How about games that get ported from WiiU and were already running in 1080p?
Probably not.
It's the same reason VR requires a graphics downgrade, because you have to render the scene twice just to get to the 3D part of VR, (and then you need to do it at 90hz minimum to not cause sickness - but the double render already hits you for a lot)
With 4K, a 1080p native game needs to render 4 times as much to the screen. That's a lot. That's even more than you have to push to VR in total. It's technically possible, but not likely in a market where Nintendo aims for 300$ price points.
There's also the fact that in terms of adoption, it's still
720p/1080i >>>>>>>>>>>>>>>>>> 1080p >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> 4k 30fps >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> 4k 60fps capable sets.
Even ESPN, the driver of most HD TV sales, still masters broadcasts in 720p because it's the majority of the market. 1080i comes along for the ride since you get 1080i "for free" out of a 720p source since 1080i is technically 540p, so most TV shows are broadcast in 1080i at most.