I also think that the wii-mote is probably the onlly controller in existence that can be played in one hand. I'm sure that works great for people who only have one hand that they can use.
Granted, one handed control will NOT work for games that require the nunchuck, but in every game that uses just the wiimote (minus the ones that force you to play it like an NES controller), you can use it with just one hand. So if I was wounded over in Iraq or something and lost my hand for whatever reason, I can be confident I can still play my Wii (to some extent). I wouldn't be able do that with any other console.
And who here has ever tried playing a game with a friend where one of you controls the wiimote and the other controls the nunchuck? That can lead to some interesting and possibly hilarious results. That's a good thing to play around with, and its only possible because as Mop It Up said, the wiimote/chuck is "Disconnected".