You are quite correct.
We used to call the little clicking solenoids the "woodpeckers"!
When turning finals we would fly with them chattering in and out - it saved us having to use our second brain cell to squint at the ASI ! It's a long time ago but as far as I remember they withdrew to give full stick/aileron deflection as the IAS reduced below 155 KIAS or so.
Anyone remember those dreaded STUPRECC drills - whilst trying to control a little jet with the tail stuck at a daft pitch angle. We was men then !
