I'm always going to use a Wiimote in multiplayer when I get Black Ops 2 because I always use it in multiplayer on the Wii.
It has more precise and faster aiming than the CCP, but that's just me. I only use the CCP in survival and campaign modes. I get my ass handed to me when I use it in multiplayer.
What controller for Wii/Wii U do you use and why do you use it?