An average player with a $1000 set of irons and $500 driver will have the possibility of hitting it further/straighter than an average player using irons and driver picked up at a pawn shop. Better grooves, better shafts, better tech on the face allowing for larger sweet spots, better grips for less slippage, better shoes for less slippage. I can go on and on.
And an average player that's able to put a little spin on a pinnacle will put the same spin on a ProV1, but with better results because of the texture of the ball. Better balls have softer, "stickier" shells that allow the ball to grab the club face and, as a result, grab the grass and react.