I'm confused, why would your insurance go up for a claim that was not your fault?
One factor in all insurance policies is number of incidents.
In 1998, I was in a car accident that wasn't my fault, and then two days later the car was stolen. When it was recovered, the damage from the theft plus the accident totaled the car. Since they were unrelated, the deductible was applied twice, and two incidents went on my insurance. They don't raise your rates by themselves, but having multiple incidents hurts, just like living in a higher-crime area. You are just more of a risk that something will happen and the insurance company will have to pay, even if they are later reimbursed by the offending party's insurance. In my case, I was hit by a driver with American Family, and it took almost a year for them to pay my insurance company. No, I'm not bitter or anything.... I really liked that car too.