Many people here keep saying that, but I don't think that future is nearly as likely or imminent as they think.
- Getting from, say, freeway autopilots to more or less arbitrary self-driving under a wide range of road and weather conditions without a competent human even present is going to be a lot harder IMO than a lot of people credit. I actually don't think the NIST autonomy levels are that well thought out. I can't help but think there's a bit of "and then a miracle happens" between 3 and 4.
- Peak demand is definitely an issue. It's not just commuting. Going away for a weekend has definite unidirectional patterns. There are also lots of reasons people will prefer personal vehicles, such as keeping stuff in them.
I'm more optimistic about autonomy. It still seems like a crazy hard problem, but things are advancing so fast right now that it actually seems like they might get there.
But I don't see where the leap from "autonomous cars" to "shared cars" happens. The main obstacle there is simply personal: I don't think people want shared cars. People want autonomous cars (although they probably want the autonomy to be optional) so that hurdle is not a problem on that side.
And since most people will use SDCs without owning them, everything will be tracked any way. They'll probably even film you in the car, like all public transport does already. And the people that own SDCs will still submit all their data for training the entire fleet, just like all Tesla drivers do already. At least they will hopefully not get filmed.