I think this is like any kind of heating or cooling; the real gains to be made, is actually in doing the boring stuff.
For instance, a half filled freezer is not as efficient as one that is full. For $1.99 you can go to McDonald's and buy ice that will save about $20 in operating costs in that first month alone...or make your own ice.
Or with a woodstove RMH, pellet stove, etc, after your coffee pot is done brewing, shut it off and leave the decanter on the woodstove RMH, pellet stove, etc to keep it warm instead of letting the burner cycle on and off. Or make
cowgirl coffee.
My father took his wood FURNACE (not a woodstove) and ducted it into the back of his electric clothes dryer. When not in use, it was an extra heat register, when in use the electric heater never switched on. That saved a lot of electricity because electricity was just used in flopping the clothes over with the drum.
A block of ice, surrounded by sawdust in a bucket so it will not drip once the ice is melted, will help keep the compressor from coming on in a refrigerator quite so much.