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The percentage will be 70 to 80% depending on your state. If the damages are in excess of that percentage then the company has no choice but to total the car.
Conversely, if the damages are less than the percentage then they have to repair the car.
I'm sorry but the fact that you don't want the vehicle back won't have any legal bearing on what happens here.
The vehicle would not be worthless if you decide to trade/sell it later. There is no question the value will take a hit but it won't be worthless. Thousands of vehicles that have been in accidents are sold every day, most with the disclosure that it has been damaged previously.
You can try to see if your states Insurance Commissioner will help you, but I can tell you from previous experience that they won't do a thing. Their office can also confirm what the percentage is in your state that makes a vehicle a total loss.
Not that it will make much of a difference to you, but I always buy totaled out cars and have them rebuilt and have never had a problem. I sent both my kids off to college in rebuilt totaled out cars and they never had any trouble.
Good Luck.