Read Shawn Coyle's response carefully, he said it all.
The banked turn involves a constant pull-up, as the nose sweeps through the horizon. Imagine the turn as a 90 degree banked turn, and you can see that the maneuver is virtually a pure pitch maneuver.
Since the turn requires a continuous pitch rate, a continuous back stick is required. The horizontal tail is being swept down, so it makes an up force (actually, it makes a lesser down force) and this is countered by the aft cyclic.