In my case. I am building a 100% electric coach. I am not using propane for anything.
I have run an 120v fridge in my old C class for years. I just left the original fridge door in place to vent outside and built the fridge into the cabinets. It is by far the best RV fridge I have ever had. I have not tried to run it on an inverter though. I have always thought about it, but my maximum travel time in the old girl " 1984 holiday rambler alumilite" is about 8 hours from home. The fridge and freezer stay good and cold for that amount of time.
Frankly the best thing I ever did was convert the Fridge and Hot water to 120v. I don't cook inside, so I have not hassled with filling the propane tanks in over 10 years. You would be amazed at what reducing your prep check list will do for your enjoyment.