You guys are all confused, the Les Paul comes with Rock Band, the one in the bundle is Wired, the Wireless one will be sold seperately in January. The Rock Band Guitar has an extra set of frets for solos, and I do not think it will be compatible with GHII or GHIII.
The one that comes with GHIII is a Gibson. The one that came with GHII is the Explorer, and it is also wired.
Xbox Live: IamVertigo