I understand... more than you know.
The majority of Americans call a vehicle of transportation a "car" whether it be an SUV, car, truck, minivan, etc. A large number of Americans still have no idea how their vehicle works. It's a magic box on wheels that gets them from home to where ever they want. Many do not take the time to familiarize themselves with basic maintenance or enjoy driving. If those people get into an accident it is no big deal. They go out and buy another "magic box on wheels"...
Then you have us... We know how our vehicles work, take car of them, mod them to make it ours. We solve issues the vehicles has instead of b****ing about it or paying a dealer hundreds to fix. When our vehicle is in an accident it isn't as easy... the at fault, their insurance and most times even family do not understand the vehicle is no longer made of metal but blood and sweat of it's owner. You can't put a price on that.
Most people put gasoline in their car. We put in loads of time, polish, smiles and love.
Don't take the insurance company's s***.
Here is an article with good advice.
Tips for Filing a Claim After a Serious Car Accident - Edmunds.com
Unless there is extensive damage such as frame or unrepairable unit body damage I would fight with them to pay the damages.