Yes.
But even if they didn't limit cars. That's no excuse for not limiting e-bikes.
You don't need to prove that you know the traffic laws to ride an ebike. You do to ride a car.
You do not need a license that can be revoked to ride an ebike. So if you speed in a car you could just get your license removed, not the case for ebikes.
A motor. Which is what ebikes have. The difference between a 20km/h ebike and a 200km/h ebike is the strength of the motor.
If you don't cap the strength of the motor to be classified as an "ebike", one could build an electric motorcycle that goes 200km/h and call it an ebike.