Just want to add that 99.9% of insurance claim are dealt with in this way.
If you get a replacement TV for instance, at what point would you expect to pay your excess?
Very few claims are settled by cash these days, given money laundering and fraud concerns (although cash settlements are a very effective method of saving money!)
Think about what happens with
car insurance. When do you pay your excess to the repairer? Before or after the repairs?
Legally everyone has an element of self-insurance written into their policies. This is the excess. By paying the excess you, in effect, seal the contract of the claim being accepted and allow the insurer to proceed further.
This is why we were always told to be very careful in requesting an excess if we thought the claim was in anyway fraudulent, as we could not give an insured the impression that the claim was "accepted".