I'm on board if it's a high-capacity SD card sort of device that they're going for, a unified medium between handheld and console. Given Nintendo's desire to run their systems as power-usage-friendly as possible, I'd have to imagine that not including a spinning disc drive in a system would save on space, power consumption, and heating issues. That's without even considering all of the cross-system functionality.
I haven't looked through all of the details yet, but for all the talk about the controller having a screen, is it mentioned anywhere whether or not it's a touch screen? The NX home console having a touch-pad like the Wii U's GamePad would make a lot more sense if they want to try and keep the DS-style two screen approach for the next handheld (I'll call it DSX for now). Since the 3DS introduced the notion of the two screens not being equal size or functionality, the number of games that have used both screens for one large display has dwindled dramatically, so that would make it easy for a lot of games to be compatible between the DSX's two screens, and the NX using the TV and controller-screen. The gamepad already has a microphone and camera and whatnot of the DS, so those functions are easily shared too. In that case, it may not be the NX itself that is the oft-rumored hybrid console/portable, the real hybrid here may just be Nintendo's software library, playable on either system, and supplemented with an expanded Nintendo Network presence that includes home computer and mobile phone elements (Miiverse integration, remote digital purchasing, etc, all things they've discussed before). It consolidates their software development resources and, assuming they've learned some sort of lesson about branding from their choices with the 3DS and Wii U, it'd be easily clear to consumers that this new Nintendo platform is indeed a new generation for them, and not merely a revision.