Since I drive on the street only occasionally, now less than some years ago when I drove mostly during early evening and night, I don't really need the extra cooling, if any, through the radiator first then the aux. cooler.
All that was considered when I was rebuilding my truck and the after market cooler was being set up. I decided to not run it through the radiator first because I felt the radiator is hot to begin with and all that running it through the radiator first was going to do was keeping the trans fluid hot longer due to not that much heat from the fluid was going to be pulled from it in the hot radiator.
I bought a 32,000 lb. cooler because it was recommended I run that size for my type of performance engine, and many racers used that size. I have yet to plumb my trans. temp. gauge in yet and need to since I just had my trans. overhauled at 165K miles. My first overhaul was when the trans. was factory and it was at 191K, and I know I have used this truck much, much more and harder than the first owner did.
So, I figured it has done pretty well with the cooler hooked up the way I have it. I don't tow, and there are no hills anywhere around where I live. I suppose following the book suggestion on plumbing the cooler lines up the way
@HotRodPC indicates would be fine depending on how the truck is to be used. No one ever rides in the truck with me and all I have in it is a small tool box and some stuff under the seat. I spend most all my driving a low street speed and no highway driving, and if I do it's for a very short distance and at speeds under 60 mph. Sounds boring doesn't it.