As I understand it, Delay Repay is based on the journey actually made, not on the originally booked itinerary (e.g. if the passenger chooses to travel on a different train to that originally booked, it should be based on the train actually used). And as the Conditions clearly state, you are entitled to use a ticket to make a journey that starts after the ticket's origin station, and ends before the ticket's end station (except where otherwise stated).
All the Delay Repay claims that I have ever completed have asked for details of the intended itinerary (including the start and destination), and of the ticket held (usually including it's origin and end stations, as well as the cost). There is therefore a clear distinction between the intended itinerary, and the validity of the ticket. Does the same not apply with CS claims?
As CS did not retime the train's arrival at the passenger's intended destination station, surely the retiming is irrelevant?