I guess that depends on the spin. My hunch is that a RB isn't spinning very fast in what ever direction it's spinning. And, it has a pretty heavy weight to diameter ratio. In that vein, I doubt the spin affects the ball's flight all that much, nor is it imparted consistently the same way. But, there's probably enough to keep it from becoming a knuckle ball.
A 170 yard 7 iron shot imparts between 7000-8000 rpm of backspin on the ball, of giving it a surface speed of 211 mph as it leaves the club. Add to that the club speed of 120 mph and you have about 330 mph on the bottom, and -90 mph on the top. The dimples add to the ball's ability to "catch" the air and increase and decrease the pressure on the ball, which has a substantially lesser sectional density than a lead ball. No wonder it bends so much when hit!
It actually doesn't bend more the further down range it goes, but it accumulates a sideways or upward momentum that gets added to from the air pressure differential the further it goes down range (actually the sideways force is decreasing as drag slows down both the velocity and the spin).