There exists the option of a 12v/120v compressor fridge too. No inverter needed.
These generally are much more expensive than the 120v only residential fridges, but no inverter needed, so there is a ~15% electrical savings right there.
I am not sure how much total difference there would be in battery consumption between 2 equal sized fridges, one residential, and one 12v fridge. I suspect it is way more than the 15% inverter losses, and factor in a little Peukert too.
Perhaps, if less battery, less recharging sources, and less inverter is needed, the cost of the 12v compressor fridge is not any more expensive than the residential 120v only fridge is.
I am rather impressed with my 1.8 cubic foot Vitrifrigo fridge, both as far as internal temperatures and battery consumption.
Anyway, 12v compressor fridges are an option. NovaKool, Vitrifrigo, Isotherm, Waeco are several of the bigger names using the Danfoss/Secop compressors.