This thread has photos of the 81 gpz550 cooler mounts, but there are some things you need to know.
www.kzrider.com/forum/11-projects/221140...ng-the-fat?start=100
In the photo of the frame you will see six holes in the brace used to hold the oil cooler. Only two of those visible holes are threaded. Those two are the two original upper mounting holes. They aren't actually threaded, they are a nut welded onto the back side of the brace. Also, in the photo of the frame, you will see that two tabs have been cut and ground off. Those two tabs each would have also had a welded nut.
The two upper welded nuts hold a horizontal cooler bracket. The top of the cooler then bolts to that upper bracket and the bottom of the cooler bolts to the frame brace directly without using a separate bracket. You can see the bracket in the photos, but I'm not using the original holes in the bracket. Notice the bracket has large holes. Those should have rubber-bushed standoffs to attach the bracket to the frame brace. The lower mounting holes on the cooler also use rubber-bushed standoffs.
In order to use a steering damper, I lowered the oil cooler. I did that by drilling four new holes into the frame brace, and mounted the cooler bracket using steel spacers. I kept the rubber mounts for the lower bracket, but used nuts and bolts to attach it. I attached the cooler to the upper bracket with rubber bushings, so the cooler is hopefully not getting full engine vibration.
I had to shorten the cooler hoses to lower the cooler.