As far as E-Bikes, if they are governed to about 20 MPH, then they have the same issues with speed differential between cars and bikes, and do well in bike lanes and off-road bike paths.
I think one of the issues with the e-bikes is that people hate to be sweating up a storm and see an e-bike blow past them. But that is a social issue, not a technology/equipment issue.
Looking up Oregon city and state laws:
https://www.eugene-or.gov/4665/E-Bikes
So the paths are generally open to class 1 and 2 E-Bikes (both governed to 20 MPH, with either throttle or pedal assist).
Later in on the page it lists a minimum age of 16, but otherwise very few restrictions for licensing.
In fact, the public utility is even offering a rebate on the E-Bikes.