I'm not sure this is correct in the specific instance of auto insurance in Ontario, but in any case it's irrelevant.
The way I see it:
a)OP is damaged
b)He wants money to fix damage
c)He doesn't want his insurance to go up as he was not at fault
Who pays for the damage doesn't matter at all to the OP. It could be his insurance, the other drivers insurance, the other driver personally, the government of Ontario, he doesn't care where it comes from as ultimately (assuming that the money is actually transferred not just a judgement rendered), he is in exactly the same place. I am sure the OP's insurance company cares greatly about who pays, but the rider is isolated from that mess.