I should add that you pictures look like the cooler mounts with the oil lines on top.I returned to this post to review pictures. Sorry I didn't answer sooner. I guess I have only driven the quad twenty or so miles since owning it. It spends more time with me or the shop working on it than me riding it. The latest thing was replacing the locked up rear brake.
Regarding the performance with the oil cooler missing, it would get hot sometimes. That's what got me looking into this matter. I got a used cooler on ebay. I've had it a few weeks but just started looking at fit yesterday. It seems that the mouting holes will line up but I need two find two of the metal sleeves that are inside the rubber gromet, that the mounting bolts go through. The lines seem like they match the connecting points on the cooler. The one thing that has me a little confussed, and why I was on this thread looking at pictures, is the hose/lines positioning. I haven't tried it yet but it almost seems like the line's length and position would connect them to the cooler short sides rather than long side where the ports are. I am going to look at the parts diagram too, to see if the cooler positioning has the lines connecting to the top or bottom of the cooler. I blew dirt out of the cooler fins yesterday and straightened the crushed fins that I could fix. Now I need "O" rings. The cooler has them but I won't reuse those.