Not sure if I understand what you mean. The idea is to be able to see the object name immediately after selecting a single object or its sub-object (control point, surface edge or a joined surface which is part of a polysurface), without the need to run any extra command. 
Currently, the Status bar of Rhino 7 could show the number of selected objects or the object’s layer (but not both simultaneously), but it’s incapable of showing the object’s name itself, which is super strange. If two or more objects are selected and they are part of different layers, the Status bar displays “Varies” instead.
I found a similar discussion from two years ago: