"Let Uber drive you to work for free then pay you to use your car for the day. We'll cover the gas!"
"GM is happy to partner with Lyft to be the first self diving car! GM Good. GM Hip"
To signal to passengers that you won’t record them during the ride, give the cameras nice red LEDs when in operation, and be open about what you do.
I doubt this would even be a concern. Many Uber/Lyft drivers already record interior and exterior views for the duration of every ride. And I don't see anything wrong with that. Hell, think about:
"The rider after you reported damage to the car that you didn't report. Therefore you did it and are responsible for paying for it."
"Where's your proof? Maybe I just didn't notice the damage and it was the rider before me -- it's not my job to inspect your cars. Or maybe the rider after me damaged the car -- possibly even on purpose -- and then blamed me."
They'd be foolish not to record every single ride, from multiple angles if possible.
I am thinking like a public transit subway in New York. We cannot have anything you can't pressure wash.
However, that also brings up the problem of traffic congestion and automation (as well as comfort and ergonomics?). Can we automate the process of sanitizing a car? Will passengers accept (cold) plastic and aluminum surfaces everywhere?