The pilot has indeed communicated his intentions clearly: to commit suicide. So shooting him down just gives him what he wants: to go out in the most spectacular way. And to the contrary, it will encourage future copycats. Much better to talk him out of it, come down off the ledge peacefully, and maybe save the airplane and possible innocent lives on the ground.
On the other hand, publishing his name and picture is out and out wrong. The publicity also encourages copycats.