right, in your case.
Car premium will mostly go up if insurance pays any money out.
And homeowners insurance works differently. They don't care for your claims. They care for claims in your area. My homeowners went up each year, because we had storms every year and many people needed sidings and roofs replaced.
The two major reasons for insurance premiums increasing are:
1. Change of location
2. Claim that your insurance pays out on.
If you make a claim, but your insurance company was able to recover those funds (i.e. sue the other insurance company) then you're probably fine. But if you're at fault or they CAN'T recover those funds for some reason, it's just a matter of time before they go up.
Another thing to consider is that a lot of insurance policies are overpriced. If yours doesn't go up, it may already be expensive. Also, the models of which your premium is based on are not published, so we can only speculate.
They paid out on two auto insurance claims: over a hundred hail stone dents, and when someone backed into me while parked at a restaurant. They also paid out for my house when a roofer left it open and it rained. They did get some money back from him, but it took seven years.
My rates have never increased more than a marginal couple of dollars every few years.