Even if driverless cars killed more people than humans they would see mass adoption eventually. However they are subject to farr higher scrutiny than human drivers and even so make fewer mistakes, avoid accidents more frequently and can't get drunk, tired, angry, or distracted.

Solving liability in traffic collisions is basically a solved problem through the courts, and at least in the UK, liability is assigned in law to the vendor (more accurately, there’s a list of who’s responsible for stuff, I’m not certain if it’s possible to assume legal responsibility without being the vendor).