My father actually inquired on this to my local state agency. Technically an ebike is considered a motorized vehicle by the state and is not allowed on trails that prohibit motorized vehicles. I say technically, because I'm pretty damned sure no game warden is going to give you a ticket for riding an ebike. If it looks like a bike, and rides like a bike, and you're not riding above bike speeds, I think you're safe.
Mountain bikes are classified as motorized (WRT Wilderness access at least). If EV bikes are allowed where both pedal bikes and ATVs are not, something is wrong.
