the name is alittle strange BUT this could definately work. nostalgia would kick in for many people. also how are we supposed to know they aren't just refering to the wii but in a different fashion.
They could blatanly advertise, "Enjoy next generation gaming on Nintendo's brand new home console, Wii Entertainment System" yadda yadda talk about features, yadda yadda Now You're Playing With Power.