Factions and movements tend to be founded on earlier factions and movements. In your opinion, of the Blacks and the Greens and the Reds and the Blacks, who is whom’s ideological successor? War is a method of solving arguments. So what argument was Westeros having before Robert smashed Raegar’s chest in?

I don’t know if I’d say that there is an ideological successor, necessarily, as the two situations don’t really match up. The Greens, after all, were arguing for male preference (and both Daemon and Daeron were male), and the Blacks for the importance of the last will and testament (so maybe that’s the Reds? But on the other hand, the Blacks were using Blackfyre as a sort of will, so it’s sort of both). 

The argument in Robert’s Rebellion was pretty straightforward – is the King of Westeros absolute or can he be held accountable for transgressions against noblemen?