The wii online was awful, no excuses for that. It took months before it finally managed to connect to my wi-fi, which was good at the time. Then SSBB kept disconnecting in the middle of matches, was one of the reasons I gave up wii early because i couldnt stabley play games like ssb and mario kart with friends, but i could play cod + fifa on ps3, or street fighter.
Not sure how good it is on wii u as havent really had a reason to go online, except initially.