A "pulsing" characterization of stick movement makes sense when one does it...the notion is "small movement, neutralize-wait...small movement, neutralize-wait...", rather than ordering pitch and roll almost randomly or at least in a series of opposing orders.
When there is stick movement, there are roll-rate and 'g' orders being sent. No movement, no orders - the airplane remains at its last "set" attitude. When change of either is desired, move the stick, neutralize it, - wait.
In a sense the ideal motion with the stick is what we do with the control column & wheel. We don't see a lot of push-pull on the column, nor left-right on the wheel, we don't "stir the column", (nor would we tolerate it!); - the movements are "squeezed" on the column and so should they be on the stick.
I wouldn't have used the term "pulsing" as that could imply a jabbing motion and it's not - it's a "squeeze", just like moving the thrust levers/throttles.
Sidestick movement:
Example of roll angles & rates, autoflight engaged then disengaged at about 300ft, or where the yellow line is no longer flat.
Touchdown is where the black line is more or less flat. Crosswind was 25kts+ from the left.
