That's for visual flight rules. There's no way this works with VFR. For one, the examples are all major cities where there's Class B airspace, requiring positive separation. So it's basically "clear of clouds", however that assumes you're cleared into Class B. There's no possible way this works with the existing ATC system.
Flying cars won't use the same airspace as turbine powered airline planes, so a new airspace designation could exist just for cars. And drones. Because drones and flying cars will be competing for the same airspace so all of them will need to use the same system.
Added: Flying cars (and to some degree drones) do compete with the same airspace as existing general aviation flights. And that's a big problem. The legacy aircraft would have to avoid the new airspace, most won't ever get an upgrade to fly autonomously; alternatively, the flying cars will have to be programmed such that they can always yield right of way to legacy aircraft.