Not being able to open more than one storage container at a time would be way more annoying then manually closing each one. I often open all the containers in a cluster at once then sort through all of them and since they all stack the close buttons are all lined up so I just do a series of clicks to close them all.
If they leave it like this then they need to tweak it as you have to move the mouse between each container closing for some odd reason. If I have 3 containers open I click on the close button and it closes, I click again and nothing happens, I have to move the mouse one way or another and then click again. Rather annoying when I've got a whole cluster of containers opened at once.