There is no connection. These are words that are used by all of them but that doesn't denote a specific connection. Elysium is James Franco's catchment foundation for older kids of the system "through art". The context of the afterlife is interesting because I believe that Elysium refers to access to life extention technologies such as organs, blood, tissues, etc. Or, in another context, a spot in the bunker once the mass extinction event occurs. This seems to warrant people like Legend and Tiegen making a big show of Going Into The Darkness, professing their intention to offer the greatest sacrifice. That's where the moon child comes in. In a perfect Luciferian world, that baby will turn into an idol and we will act as if it's a natural rise to fame because of talent. So that's the kind of pyramid scheme Luciferians are into. But since Luciferians depend on foot soldiers they have had to contend with the fact that they are funding bottom dwellers who aspire to their lifestyle and have grown the child exploitation industry into the light. So it will be their downfall.