Using the Right Arm to Accelerate the Club Longitudinally is the classic Right Arm Swing. The procedure I've described above is Left Arm Swing (because the center of the Clubhead Arc remains at the Left Shoulder, i.e., it is not transferred to the Right Elbow).
Sorry I didn't make myself clear enough.
I was referring to the situation where the Left Shoulder remains the Stroke Center even though the Right Tricep further aids the Longitudinal Acceleration provided by the rotating Pivot.