It surely does make repeat regions look more mysterious. 
Could you tell if you RMB on it, is there a Copy option? There should be a Paste option if you switch to Assembly on the Look In selection menu.
Actually, Paste option should only work for Relations window, and there are no Relations for a drawing?
Just trying to find out if there is a chance to make a mapkey.
So, if you copied the value, closed Params window, and opened Relations window while in drawing mode, the Relations window should show assembly relations.
If that works you could possibly record a mapkey to copy that param to assembly without the mapkey itself having to know the model/drawing name.