I'm just not sure the market has enough room for three traditional consoles. Big third parties have already stated pipeline restraints as being a reason they didn't make Wii U versions of last-gen games like DOOM 3 BFG and Borderlands 2 -- they just didn't have the manpower to make yet another version of those games on top of PlayStation, Xbox, and PC. They may have had that manpower back during the Gamecube era but game development was less expensive back then. No telling what the switch to x86 means for this. Having comparable hardware would help with western third party support, and I do agree Nintendo needs to give up on the idea of making a low-wattage console for the Japanese market (which is what drove them down this route in the first place), but it wouldn't be a guarantee of third party support. Far from it.
People in this thread have already said Nintendo now sees Apple, Google, and Amazon as its main competition. I'm just saying, it wouldn't be entirely insane for Nintendo to do a new handheld and console sharing the same architecture with a unified software ecosystem. It could work if Nintendo does two or three things: 1) Don't fuck up the OS and user interface. 2) Don't fuck up the service/pricing model. 3) Actually reach out to third parties, particularly Japanese developers, indies, and some of the higher-tier mobile developers.