This is a classic example of what happens when both parties have the same insurance company.
Farmers Ins tried to do the same to me when I had a fender bender in my car. The other driver in my accident got a ticket and Farmers still tried to weasel out of paying.Had to appeal it to get my payout.

Bill. "I spent a lot of money on booze, birds and fast cars. The rest I just squandered." -George Best