The big difference will come when the standards are in place for how these autonomous vehicles talk to each other in real time regardless of manufacturer.
When they can all tell each other what they are doing, the already low number of collisions will drop even further and this will affect insurance companies as their whole business model changes. profitability may be more predictable and they may get better margins, but revenue will drop considerably and they will have to resize to accommodate.
It will be gradual, as there will still be squishy things controlling cars for a while yet and driving into things, but the insurers recognise the disruption to their business moel is coming.