We have a Dometic Tundra compressor fridge (2007), with a Danfoss. The AC is converted to 24 volts DC so it may be more efficient than dining at 12 volts. We had a problem where we were getting a .8 voltage drop across the unit which then kept kicking out on low voltage when on battery. Dometic replaced the board but it didn't help. So they walked me through disabling the AC converter and that solved the problem. Fairly straight forward except powering the light which used a crude step down jury rigged transformer.
So we have been running on 12 volt for the last 8 years using the house inverter when plugged into shore power.