I know that, and you know that, but the general public is really bad at doing proper cost-benefit-analysis.
If 3000 people kill themselves (and/or their passengers) each month, that's "ok", that's accidents, they happen, it's noone's fault.
If driverless cars kill 100 people each month, then IT'S SOMEONE'S FAULT. Someone is liable. Someone can be sued. Someone in that case being the company that makes these driverless cars.
This means that personal cars will have a human somewhat in control to absorb the blame for a very long time.
I think the first driverless vehicles we'll allow on the roads will be unmanned trucks. They don't need a human onboard since they only transport goods, not people, and there's a huge efficiency gain if you can remove truck drivers, since they need to eat and sleep.
And then when people have gotten used to driving alongside fully automatic vehicles, public opinion might shift to also allow people to be transported by similar systems.