Of course its worth something, its worth its market value.
Your not relying to what I said, its in a grey area right now as technically it could be deemed unroadworthy, but its still your car.
IF you were to accept the ins co offer then its no longer yours so even if your buying it back then technically you had a break in ownership.
But, if you don't care however then the easiest option is to simply say close the claim and confirm the ins co have removed any marker IF they placed one, which I think technically they should not yet have done.
Most people would care hence why I think people are struggling with what you expected to happen.
As said, when you come to renewal you will be asked have you had any accidents or claims even if not your fault.
Strictly speaking your answer should be yes.
Some insurers will place a small premium loading at this point, as they will assume that you are not necessarily choosing to park in the safest places.
They can't do any more than that and it can genuinely not be your fault, but there are times when people will be no fault, but have increased risk.