I might be a little prejudice, I've owned a Bosch class 3 bike for over 6 years now. Never had an issue on any bike path or rail trail. Even on paths stating no E-bikes or motor assisted vehicles. I spoke to several rangers from the NY Parks Department while on the trail, and they're primarily looking for speedsters on scooters, motorized skateboards and class 2 violators.
Just as for any one and a half ton vehicle on the road, violations are determined be the irresponsible users, not their vehicles.
I've stated it many times before on this forum, there should be:
Speed Restrictions not Class Restrictions!
On my Class 3 ebike, I can go as slow as any other class ebike.