The Wii Classic Controller is most certainly wired, just it's wired to the wireless Wii Remote. You may be thinking of the Wii U Pro Controller which is fully wireless.
I wouldn't mind if it were just the fact that the Wii Classic Controller is wired. What bugs me is that the cable is really, really short: only long enough to run into something that you'd be expected to hold in your lap. Of course, that's exactly the use case it was designed for, so it made sense in that context. But it causes problems when you then want to plug it into something several feet away, like, say, the console.
