Yes, I agree with almost all of that. The sensationalizing of relatively few self-driving accidents are not doing the industry any favors.
I've also wondered about how soon pedestrian's knowledge of self-driving car's behavior would become a thing. But the bigger problem is likely to be from people who are still driving themselves, knowing that they can cut-off, etc., self-driving cars with impunity, since self-driving cars will likely react submissively in order to avoid an accident. There's going to be a lot of novel problems as the mix becomes more like 50-50. I'm sure there's research going on into this sort of issue.
I think we can expect a lot of changes in the insurance world as well. Car companies obviously want to continue to evade liability for accidents even as they supply their own self-driving solutions (Tesla has been positively rabid about this). As insurance companies will wish to avoid as much liability as they reasonably can too, they will come down heavily on individuals. There will likely eventually be a discount for using self-driving, or more likely a surcharge for not. Or, if that's not enough, there will be new policies that simply exclude coverage for incidents while self-driving is not engaged.
Eventually, cars just won't have any controls at all, except maybe emergency controls, e.g. via an app, to manually move a car under geofenced limits. That wouldn't sit well with the Ferrari crowd, but I'll take it if I can convert my seat to a bed and dim the windows.
Finally, subscription models are taking over everything. Within another 5-10 years, or about the time self-driving becomes the default, I'd expect it to be normal for people in first-world countries to hold an all-inclusive subscription to an insured self-driving car. That's been tried already, of course, but once cars drive themselves it makes a lot more sense for them to be considered appliances rather than personal expressions.