In my opinion LEAN thinking is actually about two things (as far as benefits goes).
1. Desisigning processes that are as efficient as they can be by removing unnecessary reworking and delay. If you actually looked at the real time you spend “doing” a claim it would be counted in minutes, all the other “days” that it takes are actually days waiting for something to happen (usually waiting for the customer to provide something) and of course if you can remove those delays then the end to end time is reduced.
2. Reducing “failure demand” which is any demand on your time created by a deficiency in the process (e.g. telephone call from the customer to ask what is happening with their claim). A significant resource is allocated by every LA to answering for failures in the system rather than ensuring that the system works and the resources are actually allocated to the system.
So the argument goes that the “corporate” call centre was created to answer the calls created by the failures in the system. If you engineer out the failues by redesigning the system then you don’t need the call centre.
It is also possible to argue that the existance of the call centre in the “system” creates its own failure demand and so becomes or is a problem rather than a solution.