Propane fridges cool via the 'absorption cycle'.
A propane fueled burner heats an ammonia solution to circulate thru fridge to remove heat. It is a gravity system and requires a very level unit to avoid damage...ie. can't park on uneven surface very often without risking damage.
When running on 12 volts, a heating element does what the propane flame was doing....constantly on.
The propane fridge needs an exhaust vent due to the burning flame. If the flame goes out, propane hopefully is being drawn out the vent.
A 12 volt 'compressor' fridge as referenced in Bob's video only draws power when the compressor is running. It cycles off and on just like your home fridge. Insulate around it in warm weather to reduce the amount of time the compressor runs.
Both types of units have been around a while and work very well. The two-way and three-way units were pretty much designed for when campers would drive to their site, set camp and not move til going home. Propane worked well when no shore power was available.
The 12 volt compressor fridges became popular with the more adventurous camper who boondocked more and with the increased use of solar to keep batteries charged up.
Propane fridges require a bit more maintenance, don't 'cycle' when on electric, and must be kept level.
12 volt compressor fridge is more frugal with its cycling of power, is basically maintenance free, and most can handle up to a 30 degree tilt.
hope that helps.