title_body: State-based analogue to distributive case
upvoted_answer: Interesting concept for a case. In my interpretation this kind of an abstract distributive case would apply in sentences like this one (a probably very clumsy reformulation of a famous first sentence in literature)
  
  Every unhappy family is different in their unhappiness.
  
  I looked up the really case-rich conlang Ithkuil and did not find a precedent for this kind of case. Feel free to name it by any name you like. When you don't have an own idea, I suggest respective case for that one.