Yep, I agree with the use of a extra filter with a race car. Not too many 6's blow on the street though. The oil comes out of the engine on the right side and depending on your cooler, your lines may exit on the right side as well. Personally, I like the thermostat as close to the engine discharge point as possible to quickly respond to engine temps, so I mounted the thermostat there. I just feel it responds better there. Maybe I worry too much.
Mounting it up front works for a race car since they rarely do stop and go driving and are open most of the time. It is for sure easier to mount the thermostat up front and avoid additional plumbing in the back.
Bottom line is there are 50 different ways to plumb them depending on the use and the hardware used. I only suggest considering the application and hardware before using a generic picture. The picture gives a great overview of the theory. There is nothing wrong with the pic, but there just might be better alternatives depending on the application and was the point I was trying to make.......