Yes, Crome doesn't transfer heat as well as say bare metal, or just plain flat black, but the tranny pan isn't designed to cool crap. It's relatively small. Compare it to your case on the tranny. A little crome on 1/7th the surface on the tranny won't make a difference. Even towing it wouldn't matter. And if you are that worried get a tranny cooler. Keep it and enjoy the added capacity. That's what is going to make it better by adding longevity........
Wasn't me.............