Normally power for the thermostat comes from the furnace which is only powered by 12VDC as compared to the A/C's are 120VAC primary power but controlled via the thermostat and 12VDC.
Are other DC power appliances working? Fridge, ceiling lights, water pump, water heater?
I think you might be confusing 'controller' with 'converter'. The converter takes 120VAC and makes 12VDC to power the coach and keep the batteries charged. If it was recently replaced you could have a problem associated with it and maybe dead batteries. Not unusual to blow the fuses or pop the circuit breakers on a converter when connecting to the coach DC power lines. It will look like its work but it's not.