I am not here to say you are right or wrong. This is a topic that comes up in one form or another about every 3 to 6 months. There seems to be theories and data on both sides of the fence.
Full disclosure: My after-cooler is after the tank and I like it there.
Here is where it was discussed at great length: more than 350 posts with input from 47 members. I can’t say that the information really swayed one side or the other.