The cable chop sounds great on paper, but when it comes to the execution it's less of a core exercise and more of an arm blaster. Also, the resistance changes drastically from beginning to end.
With this method, the Swiss ball acts as a cam similar to what you'd find on a machine, giving you the feel of constant, equal tension throughout the ROM and putting that tension right where you need it.
When you think of science, the first thing that probably comes to mind is images of atrophied, goggle-wearing weaklings in white coats. Bulging muscles and inhuman strength are certainly not part of your mental image!
Everybody wants to add more wheels to their squat, bench, and deadlift. But sometimes it's the little things that trip us up. Give this a read and start hitting some PR's.