They are correct, an auxillary cooler should not be used as a stand alone cooler for the transmission. A couple of The reasons are:
1) the transmission is designed to operate at a certian temperature, and so is the fluid, the quicker the fluid gets to operating temperature, the longer the transmission will last. Cooler is not always better, there is such a thing as too cold. Oil bearing clearences are designed to match the viscosity of the fluid at temperature.
2) sitting in a traffic jam on the interstate, or heavy city traffic could cause the fluid to get too hot as there is very little airflow over the cooler, unless a fan is installed. This is were the factory cooler would take over the job of keeping the fluid cool while sitting still. Alot of heat is generated when not moving, and the converter spining the fluid creates friction, this heat needs to be removed, and a stand alone cooler without airflow is usless.
Installing a new radiator is the best way to go, I say this because if the old one has developed a crack for the transmission fluid cooler, you have to ask yourself the question just how much longer is the rest of the radiator going to last.