Mine comes out of the radiator, into the cooler, then out of the cooler and into the return line to the trans.
My OEM radiator and lines had the quick disconnect fittings. The radiator cracked on top about 4 days before taking it on a trip. I was working 12 hours shifts covering for the 3rd shift guy who was in the hospital. I had my best friend change it and the water pump since I didn't have the time. He got a radiator from Advance Auto Parts which I didn't really want but didn't have many options on a tight time schedule. There were two choices of radiators. Quick connect fittings and one with the barbed fittings. He put the one with barbed fittings in since it was cheaper thinking I'd want to save money. He cut the end of the quick fitting off the hose and just clamped a small section of hose between the OEM lines and the radiator barbed fittings.
I would have told him to get the quick connect radiator if I had been thinking, but it's all worked out ok and runs fine. I do have plans to replace that radiator with a MOPAR one in the future. I'm just going to get the MOPAR one with the barbed fittings and go that route again. I'd have to change the trans lines otherwise.