The "coils" being 2 diff sizes, and one being in the switch cavity vs between the pups, really makes me skeptical of that they are both dummy coils. There is no need for separate dummy coils, and the best place for a shared coil is between the pickups. I really think that's just a very large taped up switch. Not even that much larger than a modern L style LP pup switch, just all taped up.