Stop in for a cup of coffee

Ben Drinkin said

I have always put a transmission cooler inline before the radiator.

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Wouldn’t that kind of defeat the purpose a bit?

Let’s say the transfluid leaving the trans is 205, goes thru a super efficient huge cooler and drops to 175. But then goes into the radiator where coolant is 195. Would that not heat the trans coolant BACK up from heat transfer?