Which seats are you referring to, the driver and passenger, or the power theatre seating? You mentioned the starting battery being strong enough to start the engine, but if we're referring to the awning and the power theatre seats, those are more than likely powered by the house batteries. Check the fuses in the 12v panel. My panel has an idiot light to show which fuses are blown. As such the wiring can show 12v, but it doesn't have enough amperage to do anything.