The problem still exists that at the coldest point in the year still dumping heat out side, however you look at it the reason that you need the cold from the outside is because the heat from the inside of the house is getting in to the fridge, the heat pump that all of our fridges have is dumping that heat in to the house instead of dumping it outside.
I like the thermal battery idea but why not have that thermal battery inside? say a 300 gallon tank of water that either preheats your incoming water or works with a heat pump water heater, have it plumbed to your whole house, bath vent fans, oven range hood, oven vent, all the wasted heat collected and used, it would most likely have to be part of a whole house design but if it was done it should work well.
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