The place to come to share your technical expertise, or just find out what the little springy thing is that's just pinged out of sight under the work-bench.
I think the external oil cooler on a 3GM FZR1000 Genesis is plumbed into the oil pan/sump. I would think it is possible to fit the sump from the FZX or even FZ750 without cooler outlets thus enabling you to do away with the cooler.