The marketing folks have cleverly stuck a happy sounding name on yet another product to disguise what it really is. Seems to me that any vehicle, including bicycles, which have a motor are by definition Motor Vehicles. No doubt the manufacturers, marketers and purchasers will presume they should somehow be given special dispensation and allowed to use them in areas such as bike paths reserved for non-motorized transportation and Enjoyment. For me, a significant element of that enjoyment is derived from the absence of motor powered vehicles.
But, you might insist, isn't an e-bike still a bicycle? No, when you boil the issue down to basics, any vehicle, even an "e-bike" surrenders its right to be considered a traditional, non-motorized vehicle (or bicycle) when you put even the smallest motor on it. The size of the motor doesn't matter. A Harley Davidson only has two wheels, too, albeit a much bigger motor, and is an anathema to bicyclists. So where does one draw the line? Electric motors are OK but not internal combustion engines? Two wheeled electric vehicles like e-bikes are OK but 4-wheel electric vehicles like golf carts are not? Make an exception for one and you might as well make an exception for all. I oppose e-bikes in any guise, but suspect we'll have to wait years for a series of court rulings to see how this plays out. In the meantime, if I see a motor vehicle, including e-bikes, operated in an area posted against motorized vehicles, I'm going to complain to the operator and report it to the police.