I had same problem in the past ...
Then i learned to move camera to side, so my character is on side or in corner of the screen ... and since containter are opened in middle of the screen, i simply click to open > click to open another > click to open another > click to open another > then move on, wich closes them all.
Now im happy as a flea. :P
Tho i believe some AoE loot, or tooltip "empty" when mouseover are both great ideas.

Many people around here demanded removal empty containers, wich sounds like horrible idea. -_-