They could make the trim control wheel mechanically assisted, for example (since there are cases where electronic trim control is required because because of the amount of force needed to turn the wheel)
I'd imagine it already IS mechanically assisted. There is a limit to how much you can amplify a pilot's input mechanically, and I'd imagine the load on the aircraft exceeded the amount of amplification needed.
I.e. your car has power steering, so the car manually adds power to the turn based on the user's input. That doesn't mean that something in the road can't override the input of both the driver and power steering and jerk the wheel.
MCAS will evidently work with less maximum nose-down trim than the current version has, as the proposed update places a limit on it.
Also, it's not zero power. A ram air turbine deploys and provides hydraulic pressure to move the controls. And there are batteries to keep a small number of essential flight instruments powered.
I guess that's no longer a requirement.