Welcome to the site. Yes, you are right about the screen that is in the radiator and would clog. That is why it is a good idea to add a filter to the system. You can go into the How-To Docs and find how to find out if you have an original tranny or not. If you can't find it, let me know and I will find it for you. The cooler is the best way to keep the tranny from failing. Also, check and change the fluid frequently. Heat is your worst enemy. If you drive the car with the respect it deserves, you can get many miles from them. One owner on this site has 315,000 miles on an original tranny.
Good luck and ask for help if you need it. We have many very experienced members here who are happy to help.
