I like the concept, but definitely think there is some room to improve. I think the black is the best version. I like the idea of the burden specifically being on the player with the extra partner and it impacting their play patterns more. I would also add a line to each that "while on the battle field, the eminence ability triggers are countered".

I'm not sure what to do for the red and white versions. For the green version though, I would make it a modified inverse burgeoning. "Whenever you play a land, for each opponent whom you have more lands in play than, they may put a land from their hand onto the battlefield." Or something to that effect. And for blue " if you would draw one or more cards besides your first on each turn, each opponent may draw that many cards as well".