When you call BA, the agent is looking at roughly the same information as you can see for yourself on WorldTracer. Another way of saying that calling is a waste of your time. No matter that the agent on the other end of line says.
Finding lost bags is a process of elimination. Nobody is actually looking for your bags. But, bags turn up in the oddest places and they go unclaimed for a while. That is when the bag is pulled and someone tries to figure out where it belongs.
For this reason, it is always worth having your contact information in 2-3 places on & in the bag. Bag tags fall of or are torn and that is when having a name and a mobile number can be really helpful.