The Easidrive actually changed gear for you. "As soon as road speed and load conditions determine, a signal is passed by the governor to the control unit, and a solenoid is energized to engage second gear by means of a dog clutch."
There was a BX Citroen in the 80's that disengaged the clutch when you pressed the gearlever down and re-engaged after you selected the next gear and lifted off pressure, I only drove one and it was foul.