In fairness isn't it down to the airport belt system and the handling agents for lost luggage rather than the airline itself.
The Airline only carries the luggage from A 2 B if it's on-board and fills in the Property Irregularity Report at the Destination.
Could be many reason's it was left behind beyond the controll of the airline.
- Passenger Sent back from Security as hand luggage is (too big, has liquids or other restricted items) and dispatcher has accepted the bag providing it reaches the a/c in time.
- Bag had fallen off the baggage trolley en-route to the a/c.
- Bag has been trapped on the baggage belt or possibly fallen off at the back.
- Bag picked up by another passenger by mistake.
- Tag fallen of bag at Departure airport.
The only reason i can see if it is the airlines fault is if the bag has had to be removed from the a/c due to a/c weight restrictions or a/c overweight.
cheers