frontcheck
I can understand your comment about separate tickets and interlining, but most of my flights are point to point on a single ticket.
Occasionally I have been asked about my final destination, but always after the agent has looked at the paperwork and normally in the context of whether I wish to check through or pick up my bags partway (if there is a long connection.) Thsi tlc is appreciated, for reasons that will become evident in a min.
I did once have some helpful git at Alitalia check my baggage through to final destination without asking, when I had a 23 hour connection (from 8pm to 7pm) and was intending to do a day's business enroute, as well as staying at a hotel.
Worse, he didnt ask me if I wished him to do this or tell me he'd done it and only issued me a BP to the intermediate stop. I didn't realise until my bag didn't appear and then I looked at the stub and realised what had happened!
It took ages to find the bag in the holding area in Rome and the local AZ guys went bananas (fortunately not at me, they were very helpful)