We still dont know what is NX, nothing implies that home console or replacement for Wii U.
Anything is possible until we officially see it, but don't claim that "nothing" implies home console.
Reggie said in an interview that "We’ve also said publicly that we are already hard at work on our next home console and that’s another element we’ll be talking about much later." http://nintendoeverything.com/reggie-indicates-that-nx-is-a-home-console/
Since the only public announcement they've made about any upcoming system is the NX announcement, that definitely suggests it is a home console. Unless you can find some other public announcement they've made that fits this statement?
It could be both a home console and a handheld though.
There's also the Metroid producer saying that the next home console Metroid would be for the NX.
OT: Since Dragon Quest XI is supposed to come out in 2016, that makes it look more probable that NX might be coming out then as well.