I would add to this that making the system fairer will inherently decrease the chances for the higher starting players. That is because they had a higher chance

I would add to this that making the system fairer will inherently decrease the chances for the higher starting players. That is because they had a higher chance to start with. The lowering of their chances is not a bad thing, it is perfectly just. But it's hard to get those players to accept that when they are starting from that position of power.