In my city, we have a small conundrum. The scooters move more like bikes than walkers, but the language on our bike trail system explicitly forbids any "motorized vehicles". Of course, reasonable people could argue that such a law can be ignored, but I know I'm risking a ticket if an officer so chooses.
Also, bicyclists seem to seriously hate the scooters. I'm not entirely sure why, but it seems to be that they're just not used to having much traffic on "their" paths.