A steal, or not a steal?

Jacoby Ellsbury's attempted steal of second base tonight, a simple caught stealing in the box score, deserves a little more attention, I think.

For as long as baseball's been scored, players stealing second, who then fall off the bag as Ellsbury did, have been considered "caught" stealing. I've always thought this was a flawed scoring of the play, and I think the remedy should be to give the player a steal and a caught stealing on the same play. Statistically this credits the player with reaching the bag before the throw, giving us a better indicator of his ability to steal, but also explains to us why he was out (over-sliding the bag).

Just an idea I've been kicking around forever. Baseball is unlikely ever to adopt this practice as the could not possibly go back and find out how many caught stealing calls were actually steals and then tag outs. Oh well.