The average driver files a claim for collision once every 17.9 years [2].
That makes human drivers 16 times safer than Uber self-driving cars. This is concerning for people who think self-driving cars are right around the corner! Improved algorithms would need to avoid 94% of the collisions that self-driving cars currently get into in order to have the same failure rate as humans.
[1] https://www.fhwa.dot.gov/ohim/onh00/bar8.htm
[2] https://www.forbes.com/sites/moneybuilder/2011/07/27/how-man...
Which isn't to say that self driving cars won't get there, just that the fact that it looks like we are almost there doesn't mean as much as you'd think; we still have the really hard bits in front of us.
While that's a difference large enough to make wide scale deployment of those cars irresponsible, it is not large enough to make one pessimist on self-driving cars existing soon. It's the kind of difference that often enough go away with a few years of engineering.
And I expect those to be the worse stats for all the self-driving car companies around, since others seem to be doing things in a less "move fast and break things" way.
That leaves open the question of how much damage that driver is at fault for on average.
I would theorize the opposite.