Thats Fords idea of how to warm up a cold E4OD trans. You don't need it. That hose is really expensive from Ford too. Sounds like yours is still the original or a po replaced it. It flows from the head to the heater, then back to the water pump and branches off to the bottom of the radiator. At the bottom the fitting looks like its the same size as the hose going down there.... Nope.. That fitting is drilled out to maybe 3/16 inch...
Thats all the flow that line can make. When that heater-trans heater upper line is replaced just forget all about the line going to the bottom of the radiator and plug the resivour port in the radiator tank... You will be just fine without it... Also the brass fitting in the head has an orfice in it and it flows thru a very small port going to the heater... Don't really know why Ford did that either.. That fitting is no longer available from Ford... I bought the last one 2 years ago cuse I found the orfice in mine was almost gone...