You are the owner of the car , but the one paid the invoice is the insurance company and the garage want to take the car from the hand of the insurance company, start to ask to move the car from the garage to your home and you will see the garage will ask you to paid big invoice for several reasons.

Car write off it's a big business and a mafia.

The remain value is around 10% of the actual price of the car, if you want it you must said it to the insurance and insist on it, they will not agree at the beginning because if the garage keep it they have no invoice to paid if you take it they have to paid the parking fee , the transportation 2 times and maybe some others invoice.