Yes, un-movable game saves are transferred.
The only save out of all the games I owned that it couldn't transfer was, for some reason, LostWinds. The other thing that can't transfer is WiiConnect24-based channels. Since the Wii U doesn't access WiiConnect24, say goodbye to Everybody Votes and Check Mii Out.
Also, Toad and Ym9iYnlzcTEzMzc equalsign are both actually wrong. Everything transferred is deleted from the Wii and your Friend Codes should stay the same.