I always hated remote-play discussions. They always turn into SONY vs Nintendo bull shit. This and the WiiU have two very different goals.
The WiiU controller is an extension of the console and is meant to add to the experience much like the second screen on the NDS. Same goes for the NGC and GBA connectivity.
Remote-play is what it's name implies. It's literally remote access to your console from your portable handheld/laptop/phone. It adds nothing to the game/experience. It's just a way of accessing your games and media on your system away from home. I've used it on my PSP just do have access to my videos on an external HDD connected to my PS3 at home.
THESE TWO FEATURES AREN'T EVEN TRYING TO DO THE SAME THING.
The only case in which SONY tried to do something similar to the WiiU was a sub-app in remote-play called Cross-Controller. That added to the game. Namely LittleBigPlanet 2, literally turning it into a 5 player game instead of 4. Aside from this one instance, Remote-Play and and WiiU have been to completely different features with different purposes all-together.
4 ≈ One







