That's actually something we thought about and have not come to a final conclusion what's best.
The information would be redundant because it's already visible in the list above. Conceptually, there is a separation of the "reference" information from the "citation" information. It's quite natural when you think about it but it's not easy to communicate for first time users of the add-on (in particular when they come from systems like EasyBib without in-text citations, where you just have references and a bibliography).
So showing the same information twice probably would not help to make the distinction. Also the room is limited in the vertical layout of the add-on.
We have plans to scroll the item into view and highlight it once you open one of the blue citation tags. That would communicate the connection between the elements and give you all the information you want.