The part of the radiator transmission lines are run through is an OtW (Oil-to-Water) cooler, and in no case is the returning oil warmer than the inlet oil. Adding an OtA (Oil-to-Air) cooler will further cool the transmission oil, if necessary. Most, probably all, modern transmissions have a thermostat that bypasses any coolers until the transmission has warmed to a specified temperature.
Interestingly, Ford left out the OtW cooler for the 4R100 tranny behind the initial PowerStroke diesels. Around 2000 they figured out the error of their ways and put the OtW cooler back in. Mine, with no thermostat (remember I said "modern" transmissions

) will rarely ever get to 180*, even when grossing 15K through the Rockies, and Ford specs them to run at 175* all the time. I'm not too worried about it at my altitude, but condensation can be a problem if the transmission never gets warm enough to evaporate it. That's one of the reasons newer trannies have thermostats.
Mark