There are now Insurance companies who are looking at what is currently specialist insurance, covering certain levels of autonomomy for vehicles.
Insurance for Driverless / Autonomous cars and vehicles will of course at some point become non specialist.
Two such companies offering Autonomous vehicle insurance are:
AXA
https://driverless.global/axa-driverless-autonomous-vehicle-car-insurance
Adrian Flux Insurance
https://driverless.global/adrian-flux-insurance
Who knows what the future may hold for Insurance?
View the article on the (huge) knock on effects of the Driverless revolution
Otonomo raises $12 million USD to make data from connected cars useful