Temperature differential is the name of the game.
Say your room temp is 72F, ahhh comfy! Your tank is 85F, Gerrrr too hot! If you utilize a device that uses the differential between the room and the tank temp and the heat exchange is 100% (1:1 ratio) efficient then it would work. Unfortunately to use a cooling system using only a radiator cooling system similar to a car’s the radiator would be as big as a house (no I did not calculate it).
Would it work at all…depends. What do you consider working, there would be some sort of temp pull down but you would not be able to measure it with a regular thermometer to +/- .001.