That's not to say that Tesla's autopilot isn't safer than the average human driver—it might be—but I thought it was settled territory that Waymos are better on safety.
Also a common thing I see happening with the Tesla Autopilot for an accident is that it's often not the fault of the autopilot. It's often the fault of the human driver who takes over last second. Naturally the driver will lie or not even realize they were the problem as they may have had auto pilot active 1 second before the crash. I think it's that natural human instinct when you see something happening to crap the wheel or hit the pedal in that "oh shit" kind of reflex. And that sometimes causes the driver to make a mistake.
I actually was in a crash with a person driving a Tesla vehicle where I think this was the cause. 3 lane highway, they were in the center lane, I was in the left lane, transport truck in the right lane. The transport truck slightly drift towards the edge of their lane and the Tesla driver freaked out and over corrected their steering wheel to the left and came swerving into my lane and was losing control of their car between both lanes until they suddenly slammed on their brakes in front of me. I gotta say, the Tesla brakes combined with the regenerative braking have some impressive stopping power. Unfortunately that also meant they stopped way faster and so suddenly that I hit their rear a bit. I got very lucky that insurance ruled in my favour and had them 100% at fault.
Apologies for the tangent, just trying to illustrate a point via a personal story of how even when the system is working well and keeping the driver safe, they can still make a human-like overreaction which overrides the autopilot and leads to a crash.
I get pretty annoyed when I see news articles with the headlines "Tesla crashed while auto pilot activated", but then there has yet to be an investigation and we actually don't know whether autopilot was in fact active or not yet. It's a clickbait style headline that I think makes people more hesitant about the progress of Waymo and Robotaxi vehicles.