It should do ok on the inverter. I can only get AC service throughout coach with built in inverter on, even whether plugged into shore power or not. Another commentator told me fridge was only connected directly to shore power. Previous owner must've customized wiring (thanks!). I purchased unit 3 years ago, and it was in excellent condition.
I took off lower grill, cleaned out the compartment and propane burner. The AC heater heats up, DC stays cold. Since AC wattage is comparable, I assume alternator can cover fridge and keeping coach battery charged while driving.
I don't know how to remove exhaust grill to clean flue and remove baffle. I'll be going back in if I can replace DC element. Thanks for website (and wiring clarification), looks promising.