With that car and all surrounding cars under computer control it shouldn't be a problem.
I just have this horrid image of a nationwide firmware update resulting in hundred car pileups.
I think there will be a great deal of resistance in the beginning because of the loss of control. People will still die with automated driving, and even though it will be tens of thousands less deaths, people will still feel uncomfortable not being in control. Being in a car will be like being in an airplane so far as being in control goes.
At least in an airplane there is another human at the controls. I think this feeds into human psychology a little bit. We simply don't trust automation because we can't understand it, or find a lack of compassion in machines. If a trucker falls asleep at the wheel and runs into oncoming traffic at least you can understand why that happened, and you also know that the driver is probably ridden with guilt. What if a computer program fails for some esoteric reason?
Automation is a tough sell. It may have to come in stages and wait for a generation that has grown up with it.