Obviously pure speculation, but I have a theory on how this whole hybrid home console/handheld will work. Of course, this is absolutely circumstantial evidence and tenuous at best, but work with me. I'm basing my predictions upon those above images (assuming they're actual leaks) and the news to date.
In the photos we see a laptop and a large monitor. It's no secret that Nintendo are branching out to developing for tablets and personal computer. What if the Nintendo NX, on the one hand, was a traditional plug-in console for your television.
But, if you do not want to buy the console, you simply buy the control and, I assume, have access to the same library of Nintendo games via some other compatible hardware medium (such as a beefed up PC). That way, it effectively works as a handheld in that if you're travelling and don't want to take your console, you save your progress in any game to a cloud. Take only your controller and your laptop so you can resume where you left off at home.