The currently dragged element is added to the target area, in this case a contact. When you move items to add (copy or move) them to another position, I’d use a more general expression like target area. It’s the same action when you move files around in a file system, even though representation differs. The appearance of the drag-and-drop action may differ when you use different tools to move items around, but the target area is the same.
When designing it’s always best to separate content, behavior and presentation from each other. In this case you should deal with the action (behavior) first, and presentation later on. When your behavior is set (what should happen on an action) then take care of presentation, for the different tools used.