Won't work, the shop channel is smart enough to tell whether it's a Wii or a vWii running on a WiiU.
Also, people have tried installing the WiiU's vWii channels on their Wiis and none of them work and won't appear in the menu screen, even the instruction manual channel. Installing the vWii system menu on the Wii also doesn't work and the vWii's
IOSs do not work on the Wii. Using a NAND 're-director' or an emulator with a vWii NAND dump and installing over the vWii's system menu with an older Wii one lets the reboot/instruction channels to work but the transfer channel just takes you to the shop channel which spits out an error saying "This software is incompatible with this console".
So yeah, all possible ways are blocked....