When I worked at Google I knew a developer who was building a prototype service similar to Google Flights, except for auto and home insurance. I don't think that product ever shipped.
The dev on that team told me that a key thing they learned while doing the analysis is that the optimal strategy with auto and home insurance is to automatically switch providers whenever it's time to renew.
It could be because your current company has collected things about you that they aren't allowed to share with other insurance companies.