You are right that there is a change to the procedures and to who receives a service, but there is no change to the service provided - it's still FIS.
If you look at the
Part 172 Provider Certificate you will see that no changes are needed to run a FIS for Mangalore from ML ATSC. For example you will not find Adelaide Approach listed, they come under "Melbourne ATSC". It's just a list of the physical locations the service is provided from.