You can't copy the customizer (assuming it rebakes new occlusion maps and stuff based on the shape customization), but the final result is a bit more open ended

You can't copy the customizer (assuming it rebakes new occlusion maps and stuff based on the shape customization), but the final result is a bit more open ended than that: "You’ll also get the source data in the form of a Maya file, including meshes, skeleton, facial rig, animation controls, and materials."