> need a distinction between pedal assist and fully electric (motor) bike

The only meaningful difference is if there is a motor or not. If there is a motor, it gets a speedometer and you have to stop at stop signs and red lights and follow speed limits. If you are powering yourself, it’s a bit more understandable that you don’t want to stop and start at every intersection. (Though if you have a racing bike, I’d reattach the speedometer and speed-limit requirements.)