Forest Preserve cops, on the other hand, their agenda is to patrol the multi-use path, make sure no one is dealing/using in the buildings, and no hanky panky in the parking lot. In the Chicago Forest Preserve districts, I've chatted with regular bikers who warned me that they've seen radar guns out on weekends to slow down the crowds. NEver seen a speed trap. Just passing on the rumor.
I know my local bike path is open to ebikes because a rental ebike operator told me he had cleared it with the various authorities. Unfortunately, he went out of business, but now I know the "no motor vehicle" signs don't apply. We have a cop wheo rides thru this path ariund dusk in the summer, mainly to clear cars out of the lots.
Ebiking was illegal on many COlorado bike paths that went thru BLM land, and many of the local towns banned them on their paths too. (Breckinridge, Dillon). When we were there in 2018, after a 1200 mile drive, we chose to ignore the signs. I hear they finally changed the law to allow them last year. Last summer, the US Interior Department now allows some ebikes on National Park and BLM land.