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.
The first rule of fixing your bench press is admitting your bench sucks. The second rule is that you must read this article and learn about the set-up, grip, ascent, and descent.