Most likely yes, he should offer to buy it back once he gets a payout.
If all it needs is a wing bumper grill and a foglight, why is he going through the insurance? That lot would cost less to replace than a young persons excess.
Whether they think it'll be a write off.. Nothing is bent, it just needs what I put in my first post, it wasn't his fault, someone pulled out in him so won't cost him a penny.