I'm glad the thread finally got back to parking. It touched on autonomous cars earlier, and there's a link.
The problem with parking isn't cars, per se - it's with the stationary cars. Most cars spend most of their time not moving, and that's when they cause parking problems.
If we had the kind of autonomous Uber-system-driven cars some are proposing, more cars would spend more time moving and less time parked. Rather than owning a car which spends 90% of it's time doing nothing but occupying public road space (which would be better used for moving cars to move in, children to play in, me to cycle in etc etc), you could subscribe to fleet scheme of autonomous cars. When you need it, you summon it. Climb in and it takes you and your clobber to where you want to go (possibly sharing part of the ride with other users, if that's mutually acceptable). When you get there, it beetles off and takes someone else where they want to go. And so on.
This is quite similar to car clubs as they exist now, but with the advantage that you could get at one even if there aren't any kept near where you live or work: they'd come to you. I can't see why it wouldn't work even in rural areas.
It's true that to meet peak demand, there'd need to be a lot of cars which wouldn't be needed during the night or in, say, mid-morning, when most people have got to where they want to be for the next few hours. But at least they could take themselves somewhere out of the way, rather than clogging up the roads.
Of course some people will always want their own cars for the 'prestige' - self-driving or not. But it seems young city-dwellers at least are beginning to kick the car-owning habit, and choosing to signal their status with other material possessions such as £1K iPhone Xs. Perhaps the rest of us will eventually follow suit and use our smartphones to summon obedient shared autonomous cars when we want them, and not find ourselves fighting to park them?