Unless there is an option to store Miis on a wiimote on wii u mii maker, i think they're locked to their respective channels. I actually haven't thought about wiimote storage until now so I don't know if it exists on wii u.
From what I've played around with, I don't think it's possible to store Miis on a Wiimote using the Wii U's Mii maker. Unless I'm wrong, the only way I've found to transfer Miis from Wii U to Wii, is to first transfer to the 3DS then transfer from 3DS to the Wii mode's Mii Maker.
Jackass Thompson doesn't approve of Wii Music. He's on a crusade to put an end to sax and violins in games