I was going to answer with
> Sounds like more of an ethics question.
> Since wear is not crash damage, I would not. If you do get the bike shop to do the work, ask them to do a separate invoice/job sheet for the accident damage, and forward that for payment without confusing things.
> Consider listing items that did take damage *from the event* like your helmet, possibly clothes if there's clear damage.
> From memory, you're in the UK and from your recent question, https://bicycles.stackexchange.com/questions/84271/shaming-driver-on-youtube the advice was to check your solicitor / lawyer…