It just depends which part of the body you are intending to train. I do the db rows with the elbow close to the torso pulling the weight up to my chest to emphazise my lats. Actually I never noticed the variant you are showing me. It looks like this one to me
http://exrx.net/WeightExercises/Delt...prightRow.html which I use frequently.
The second animation is a very much used front shoulder exercise.