I have been running a 1993 ZR1100 oil cooler on my KZ650 for about 8 years now, using the Klasmo fitting kit. I have an aftermarket gauge on the oil filler opening to monitor the temp. I have about 40k miles of practical riding with this setup in all types of weather conditions. I have found that my KZ650 SR does NOT run cooler in temperature with the oil cooler installed. The machine runs steady at temp, and has not overheated. The volume of the oil system is now larger by a bit over 1 quart. Practically, the oil does not look as black/burned up when I change the oil. I use to change the oil at 2500 miles, but now I can run longer before I need to device the oil.
I have seen several different ways to plumb the system, with some spirited insistence that one way is better than the other. I don't know, but I am comfortable with the look and improved performance of my system. I was surprised that the temp did not come down, but not loosing any sleep over the finding.