[30 years in the future...]
My son: Wait...you mean to tell me that people used to operate multi-ton machines, with a minimum of training, in a range of different conditions, and relied solely on human reflexes and human attention span to avoid collisions?
Me: Yes
My son: And nobody was killed?!?
Me: Oh no! People died ALL THE TIME!
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Look at any source you like, and it's as clear as day: the LEADING cause of death for individuals in their prime productive years (late teens through late 30s) is the automobile! If autonomous cars are even a fraction safer than human drivers, the impact it will have on demographics and population productivity will be MASSIVE.
No matter how unlikely it is to die in your prime, something will be the leading cause. Since it is very unlikely to die in your prime in modern first world countries, why focus on that? Are we going to go on a crusade to eliminate bathtubs next? I may be biased, because I'm now too old to die young...