HuggyBear

but in a helicopter, you push a button on the cyclic before you make a movement In some helicopters that is that case. Some are trimmed with a hat just like fixed-wing aircraft. Some have both. - Bear

There is no perceptible roll associated with collective input. Changes in forward airspeed, particularly during the transition from hover to forward flight are the only way you will experience Inflow Roll (or transverse flow depending on the textbook you've read). If the effect is noticeable other than passing through ETL, it's modelled excessively. - Bear

Retreating blade stall may cause left roll as well as pitch up. I've felt it, didn't enjoy it. :) The blade may stall well before the 9 o'clock position usually depicted in textbook explanations of RBS, especially when the high blade angle-of-attack is caused by inappropriate cyclic inputs and not just forward airspeed. In my case a heavy UH-1H on a warm day, did not appreciate a rapid application of aft cyclic as I tried to enter a wingover to the right. Following a very rapid-onset shudder through the airframe, the aircraft dropped quickly to the left and the cyclic was nearly yanked from my hand toward the left. This pretty much self-corrected my ham-fisted efforts and the whole thing was over in about a second. A lot of aircraft will run out of power or shake themselves to death before the retreating blade can stall in forward flight. -Bear