I am pondering if we might be talking about two different things especially if you are. involving underslung loads into the mix.
Having carried a couple of Sling Loads on my time...in all sorts of helicopters from 206's to Chinooks....Flght Control limitations never played a role in how we conducted those operations....weight limits of the Hooks, power available, and in some aircraft the amount of "Pedal" available due to wind direction and power required sometimes reached a limit but not cyclic control.
What we were doing is low level very steep turns at higher speeds at high gross weights.....as part of evasive maneuvers or in keeping a door gun pointed at a point on the ground to ensure max time for the gunner to engage the target.
As you exceed about 60 Degree Angle of Bank....the natural tendency of the aircraft is loose some lift due to the bank angle and thus demand more power meaning increasing the collective....but by doing so....that also provides yet more bank angle with a natural cyclic response by the Pilot to counter that.....and if the nose is allowed to drop then that rate of change is increased as the collective is pulled with the natural pilot response of adding aft cyclic. As the Collective pull continues you can experience that loss of Cyclic effectiveness and without using that full application of pedal....you find yourself riding in a fancy yard dart if you are close to the ground.
That is what reduces cyclic authority.....and when you reach that stage of the game....you need to lead with full opposite pedal and as the nose comes up....a slight reduction of collective will assist in the recover.