If you completely rule out ALL 3rd party support, and I mean that absolutely nothing outside of Nintendo games comes to the Wii U, then no, it won't survive. Simple because Nintendo doesn't have the manpower to make a lot big games a single year, especially now that games are in HD. But that scenario is very unlikely, because some Japanese companies will still make some games for the system, and western developers will at least make some worthwhile games here and there.
A more likely situation is something similar to the Wii, but without the massive "casual" boom. By that I mean that games like No More Heroes, Resident Evil, Monster Hunter, Sonic and the likes will be on the console.