Cooler air should make an apsorptive refridgeration unit more efficient but then so should a compressor driven unit. I have not looked into the claims of low temp inefficiencies of compressor refridgerators, but would have to thing it would have to do with frost free systems and the like.
we have a small compressor fridge that lives in our porch year round , and it seems to be fine, and our large all fridge compressor also is lucky if the air surrounding it is more than 60*F for 6 months of the year, often the temp in our house is 45* first thing in the morning.
I would have to wonder what this innefficiency claim is based on refridgeration is just a heat pump system. Most car /truck A/C cycles to dry the defroster air in winter.
Prolly didn't answer your questions ,maybe even left more.