Is contextuality about the identity of random variables?

Recent years have seen new general notions of contextuality emerge. Most these employ context-independent symbols to represent random variables in different contexts. As an example, the operational theory (Spekkens Phys Rev A 71(5):52108, 2005) treats observable being measured two contexts identically. Non-contextuality this approach is impossibility drawing ontological distinctions between identical elements theory. However, a recent collection work seeks exploit context-dependent interpret (Kujala et al. Lett 115(15):150401, 2015; Dzhafarov and Kujala Scr T163:014009, 2014). This associates with possibility imposing particular joint distribution on recorded under experimental paper compares treatments highlights limitations as physical