You had me worried there for a minute, couldn't see any filter LOL!
I did wonder at the wisdom of fitting an oil cooler to a non FI road car, but track days would warrant a cooler, out of interest, what sort of temps have you been seeing?
As for current fitment, its definitely better, but may still create a hot spot in your rad, but just keep an eye on water temps, there isn't much space for them on the z, not seen mounts like that on a cooler before, and provided there is no twisting force applied to the mounts, either in fitting or in operation it should be OK, although i would still be inclined to use four bits of studding and tubes through the end mounts to brace the whole thing up for safety.