It depends...
Different techniques for different types. If you have a teetering rotor or low effective hinge offset then with little to zero lift being generated, the cyclic inputs will not be very effective. Also, with reduced Nr small cyclic inputs can lead to surprisingly large flapping amplitudes. With a rigid or semi rigid head, the cyclic may be effective, but whether it makes things better for you would be dependant on many things.
Your aircrew manual, etc. should specify what the best technique is. Don't try anything else.
T4 Gauge: run on speed and t/r authority are not directly linked. T/R authority would be more affected by relative wind and Nr.
MightyGem: did you try eols in Gazelles with relative winds from both sides?
Matthew.