The relevant critical information would probably be copied to pilots already. I suspect it has more to do with what happens after landing.
But your other comment seems more likely: keep the people/equipment where they are to reduce the recovery time down the road.
Obviously air traffic control wants to know the exact location of the plane but they have radar and the airplane has a transponder for that purpose. I don't know if the airline cares so much, other than the estimated arrival time to account for delays.