Nick - another why does this happen...
Cyclic position vs roll rate.
In a US configuration helo when you roll rapidly to the right (wingover, downwind quickstop etc.) the roll rate increases rapidly and requires cyclic input considerably left of the wings level position to stop the roll and even more to reduce it. To the left - more cyclic is needed to produce the same rate of roll which is easily arrested with a central cyclic position. Why? does this have to do with the fact that the disc is being loaded during the manoeuvre and is therefore a cross coupling or is it something else. A helo with the blades rotating clockwise produces the opposite effect - eg to achieve a given roll rate less cyclic is required towards the advancing side than the retreating.