While stepper motors produce torque based on the current flowing through them, electrostatic motors produce torque based on the voltage applied across them. As long as the motor is stationary, the voltage does not need to change, which means that there is no additional power needed to hold position even against an external force.
I am not correcting you since what you say is correct, but looking at other comments I thought it would help to expand a bit for the other readers.
In your static torque situation, the electrostatic motor draws 0 current at your constant voltage. And thus 0 power (instantaneous power is instantaneous voltage times instantaneous current).
Whereas a conventional electromotor would be called stalled in such a situation, in which case the coils of the electromagnets in the motor behave like inductors.
With the result that for a constant applied voltage the current increases linearly with time, until the parasitic winding resistance of the coil limits the current.
This means a stalled electromotor will consume energy without performing mechanical work, and all this energy will be dissipated as heat developed over the winding resistance of the coils.
If that heat cannot escape the electromotor fast enough, the insulation of the electromotor coil will be compromised, and you gradually loose loops of the coil as they short, further decreasing the total winding resistance (since the shortcut means a loop of single turn winding resistance less), which increases the current, and thus the power into the motor.
This thermal runaway eventually destroys your motor.
That is why you should immediately shut of electric motors as soon as you detect a stall condition (typically you will hear mains hum as the stalled motor is pounding whatever stalls the motor at twice the mains line frequency), and allow it to cool, while you resolve the cause of the stall condition.
So next time you use your bar blender in the kitchen, and you notice its struggling, or worse blocked, immediately stop the motor / back off, or let it cool. Don't just press the "boost" button for prolonged durations unless you like buying blenders over and over.