This is one of those funny debates that have layers.
Grant that there are legitimate considerations that bicycle riders have about electric bicycles on trails. Similar concerns, perhaps, to the concerns raised about allowing gas motorized bikes in these trails.
Horse riders have been making the same complaints about bicycles for decades: that bicycles increase rutting, erosion, and that they're dangerous for people they share the trail with. Mountain bikes in particular have been a target of these complaints because they often ride on trails that normal bicyclists (but not horse riders) would avoid.
And, in turn, horse riders sometimes get push-back from pedestrians, who complain about manure and safety.
There's always someone bitching (justifiably or not) about someone else's conveyance. Motorcyclists are universally loathed, but they're not much worse than electric trail bikes, which are not much worse than electric mountain bikes, which are not much worse than mountain bikes... it really seems to boil down only to whether or not it's your hobby.