I believe scooters could have a place in Nashville, but that place is definitely not downtown. Drunk tourists riding them for the first time, in lots of vehicle traffic, oftentimes at night ..is always going to be a recipe for disaster.
Taking them away from downtown wouldn't alleviate the problems they will likely cause in outlying neighborhoods — but at least they'd be removed from a part of town with the highest concentration of people readily making bad decisions.
But, again, have no idea how this would be implemented. Maybe they could program them to stop working in certain areas, much like grocery store buggies' wheels lock if you take them too far away.