My faucet has come on before, but not every time.
Just in case, I always leave a sink cover off and make sure the water pump is off.
Sometimes I don't shut off the water pump because I want the ice to be fresh when I get to the destination.
Never had a water heater problem on any rig I've owned. I never knew there was an air adjustment.
2016 North Point 341RLTS
2017 F-350 Platinum CC SRW