There are some flaws in your assumptions. You assume everyone that drives has the same license and that driving requires little skill. Some speciality driving requires skills. These drivers have to have Class A CDL licenses and have to pass training. I highly doubt automated vechiles will obselete every driving job that requires a CDL license in the next 5 years. Eventually? Quite possibly. But in 5 years? Most likely no.
I'm not claiming every Uber / Lyft driver has a CDL license (most probably don't). But to claim driving requires no special skill is false. There are certain situations that require very specialized driving skills.
I'd be shocked if any significant number of UberX and Lyft drivers had a CDL. Even in NYC, where a TLC license and commercial insurance is required, drivers still don't need a CDL.
Some driving definitely requires specialized skills, but driving a Prius around SF or $random_american_city isn't it. Autonomous vehicles have gotten quite good, and I can easily see them filling the taxi/Uber use case by 2022.
I'm not claiming every Uber / Lyft driver has a CDL license (most probably don't). But to claim driving requires no special skill is false. There are certain situations that require very specialized driving skills.