1999 Toyota Corolla Transmission cooler

Hi, I am looking at adding an automatic transmission cooler to my Toyota Corolla 1999 with 110K miles. I am not towing anything, just want to do preventive things to extend the life of the transmission. My concern is whether it will put more strain on the pump that pushes the ATF through the additional pipes/tubes/plates in the cooler. Could it make that pump die sooner - thus reversing the intended effect of the cooler? Thanks!