That wouldn't make much sense. Unless you were negligent in some way (modifications, maintenance not done, etc.), I would expect Tesla to be the liable party. The owner is just using a Tesla feature in the way the company intended.

Passenger claims that they severely sprained their ankle by tepping on a kid's toy as they got in. The claim is against the car owner, not Tesla.

In the case of Uber, the driver is there as a witness to dispute their account. In the Tesla case, nobody saw it.

Nobody except the eight cameras on the car

Pointed at the interior?

And if there are, and if Tesla can monitor them, that's a whole nother set of problems...

That is charmingly optimistic.

A significant incident will occur shortly after the network is switched on and Tesla's reaction to that incident will affirm his optimism... Or it will cause their whole business model to fail overnight. Either way.