Remote Trans Cooler needed or not?

As long as you have the stock and propperly functioning in radiator cooler you would be fine to remove it.

Where that one is, is less than optimal with little to no airflow through the fins.

It will provide a small amount of heat dissapation, probably on par with a finned trans pan.

Just my 2 cents.
I'm not sure HOW that would work, having two sets of cooler lines hooked up to the same transmission? My car does NOT have OEM style lines hooked to the radiator.