Dan Peate, a venture capitalist and entrepreneur in Southern California, was thinking of buying a Tesla Model X a few years ago—until he called his insurance company and found out how much his premiums would rise.

“They quoted me $10,000 a year,” Peate recalled.

For all the concern over accidents involving driverless cars, including Tesla’s troubles with its limited self-driving Autopilot mode, it’s easy to forget one of the supposed virtues of autonomous vehicles: They will make the roads safer. A sophisticated array of lidar, radar and cameras is expected to be more adept at detecting trouble than our mortal eyes and ears. And computers never get drunk, check Tinder or fall asleep at the wheel.