Probably most ordinary people would consider a taxi to be a car, so you raise a valid point with that, but I don't know why you mentioned all those other things that obviously aren't cars.
Pickup trucks are OK to drive down Market St. They're registered as commercial vehicles in CA. You can tell because they have only a single letter on their license plate.
That’s hilarious considering how common they are as personal vehicles in most of the country.
They're common as personal vehicles (in usage) in most of non-urban California as well, this is just the state grabbing for more cash per usual.