Originally Posted by RavingRoo

It's not that anything happens "magically." It is that in many cases by (state/local) law e-bikes are indeed considered bicycles and NOT a "motorized vehicle." I know that one can say a bike is a vehicle and an e-bike has a motor, therefore it is in violation of said posted sign, but that doesn't mean it actually qualifies as a motor vehicle by law. And in that case, if the e-bike meets the qualifications of the law, that e-bike can indeed be used legally on that path.