When using the storage chest in the Society of the Erudite, you can place a bag full of goodies into the chest, and it will store everything in the bag. However, if you place the same bag of claims back into the chest- it will not un-store them. You need to remove each individual item and place them back into the chest to un-store. I have been told that this is also true of the Theatre de la Cathedrale storage. Would be quite a relief if this were able to be tweaked to mass un-store like the banks!
Additionally, the Society of the Erudite storage lacks a name- Claims have the tag "(Stored at )" with no name.