It makes sense until you understand how the whole system works. Then it falls apart because it is only wishful thinking, it doesn't work in actual practice.
The main thing that keeps a pan from dissipating heat is that there is very little fluid movement near the inside surface of the pan. In fluid dynamics it's called a boundary layer. This is a layer of fluid that just stays in place. It acts as an insulator. That fluid will cool off some, but not very much. It keeps the really hot fluid from hitting the pan so it can't ever cool.
The other thing that keeps the pan from dissipating heat is the hot air all around the pan. Have you ever measured the air temperature around the pan? I have. It's hot. You have the hot air coming from the engine compartment, including the air that has passed through the radiator. Plus the exhaust is nearby radiating a lot of heat. When the air all around the pan is hot, how will that cool the pan? The answer is that it can't. If you want to cool the ATF get a better cooler. The pan is not the way to do it.