The Toyota system shown here is a hydraulic one, you can see the rigid hydraulic tubing sticking out of the wreckage. There is a dry break manifold on the front bulkhead to send the hydraulic flud to the mechanism shown here. There is also a two piece electrical connector to send the signals to the hydraulic actuator.
This extra complexity in the connections between the nose cone and the front bulkhead is the reason Toyota use a trolley to remount the nose cone, as we saw in the chinese race, when the Toyota lost its nose in the wet.
Most other teams use a pure electrical system, McLarne use a long screw thread spun by the stepper motor, with the adjuster riding along the thread, a slot locates the pin from the flap and thus the wing is raised\lowered as the motor spins (in this months F1 Racing).
A McLaren aero expert told me you have adjust the wing relatively slowly so as not to upset the aero. Sudden movements of the front wing flap (which is ride height senstive as its so low to the ground) woudl create a sudden unpredictable fluctuation in downforce.
Many teams use the adjustment to react to balance changes from tyres and reducing fuel load. It seems its use as an overtaking tool are more limited than the tuning effect.
I'd guess a hydraulic system such as the Toyota would be quicker moving than the McLaren system.
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