For some this option works better than for other folks. Yours seems to perform on the high end of the scale.
Permanent magnet computer type fans, the ones that index point to point when spun with a finger are the most efficient. I used an 18 volt connected directly to my solar panels. Worked like a champ. Available up to 120vdc for MPPT systems to aid air circulation to the condenser. Inside a tiny fan will draw a miniscule amount of battery power 24/7.
Until I switched to Vestfrost, the performance of thousand dollar absorbsion gas refrigerators turned out to be a joke, even with multiple fans and multiple replacements thinking I got one of more bad units. The only gas unit that ever did anything was a Dometic FC-140 chest freezer with a tiny 1.5 cubic foot capacity.