With such a close release date, it would be expected that the new system would be at the June Electronic Entertainment Expo in some capacity. That idea was shot down by CEO Tatsumi Kimishima in a conference call confirmed that the system would not be visible at the June show. Furthermore, in various statements Nintendo have confirmed that the Wii U Version of the game will be the only one playable at the show.
These announcements of their E3 plans also point to Zelda being a simultaneous Wii U and NX game, pushing the release window for the game to next March 2017, much later than the fall many fans were hoping for.
While this may not be the news fans wanted to hear about Zelda or the NX, The Nikkei reports "Features, price, software at launch and other details to be announced by the end of the year" So fans will not have long to wait to find out more about the next system.