Going to 24v from 12v DC provides no discernible difference in voltage drop with a 4 amp load. It will be 0.10 volts drop with a 10 foot run (20 feet round trip) with 8ga wire. Higher voltage helps with high draw motors and inverters but not for something like a fridge drawing 4-5 amps.
In the real world with a 220 AH 12v battery bank I have never been able to draw the batteries down to more than 78% DOD and that was with a test where I had all the lights, the TV, and the fridge running.
Good idea to invest in a Trimetric or similar device so you know exactly what your battery charge level is at any point in time and can accurately monitor the draw down from the fridge, furnace, lights, and anything else in the camper.
The RV fridges are designed to use 120v AC or propane for power. The DC is to power the electronics. Want a fridge that is designed to operate on DC then get a marine fridge.