I've yet to see any savings on my insurance rates due to all these new 'safety' systems. Haven't owned a vehicle yet with a semi autonomous system yet, but I doubt those who own Tesla's are saving any money.
then you need to shop around for competitive rates because not often will your existing insurance company give you leverage once an existing customer.
Rates are more going to be determined by the number of accidents for a given vehicle and the average cost of repairs. The main reason why cars with autonomous driving aids have cheaper rates is because they actually get in less collisions.