Stock 4R100 trannies did not come with an external filter. I installed a Magnefine filter pre-coolers to catch debris that would clog/accumulate in the coolers and possibly take out later transmissions. The external filter is mandated by Ford post-cooler on rebuilt trannies for this reason, to catch debris coming from the coolers so it doesn't take out the tranny. It is a $20 part that saves them the cost of replacing the OTA and OTW coolers which are pricey. If you want to replace them cheaper than Ford, you can purchase them directly from the distributor here or from site sponsors like DI etc.
Synthetic ATF is probably only of modest importance to you because you do not stress the tranny much with towing/heavy loads etc.
Synthetic ATF is probably only of modest importance to you because you do not stress the tranny much with towing/heavy loads etc.