I must confess I haven’t read all of the posts in this thread. Also IANAL. However, I am also a victim of an auto accident that was not my fault, and I also live in New Jersey so I’m somewhat familiar with how that stuff works here.
All of my medical expenses, plus the cost for my totalled car, were covered by my excellent auto insurance company. They sued the at-fault driver for their costs. When all was said and done, that subrogation resulted in the return of my deductible to me.
The bad part was that I was hit by an out-of-state driver, who had very minimal personal injury insurance. On the advice of my lawyer, I filed with my insurance company for the pain and suffering, of which there was a great deal. In NJ you cannot sue for P&S for soft-tissue damage only, but I had a cracked bone in my spine, so that qualified. We prevailed in arbitration. The lawyer did get the IIRC 30% contingency, but I still ended up with more than I would have. I certainly didn’t “get rich” from it, though.
Here’s how my lawyer explained the logic. The goal of accidental injury compensation is that the person who was at fault should make you “whole,” as in the same as you were before the accident. In the case of physical property, that’s relatively easy. In the case of harm to the body, it’s impossible. All they can do is compensate you in some way for your suffering, and money is all they’ve got.
To put it another way, for how much money would you willingly submit to whatever injury is involved? Probably no amount would suffice. In my case, besides the spinal injury I had damage to the better one of my knees. As a result, I still have knee and back problems, and will probably continue to have them for the rest of my life, despite all the professional rehab. More subtly, the enforced inactivity and continuing pain continues to be an obstacle in my efforts to be fit and healthy. So no, I would not have accepted the settlement amount in return for permitting this injury, but it was all I could get.
Remember that even after the current damages heal, there will quite possibly be continuing issues.
In New Jersey, as previously stated, you work with your own insurance company for everything up to the max that is covered by the at-fault party’s insurance. After that you attempt to collect, possibly through legal means, from your own insurance company’s PIP (Personal Injury Protection) policy.
I hope this is helpful.