Crackpot theory time
It seems pretty clear that the Zero point or Zero God's reference to the No God is not coincidental.
So, say it's just played straight. The Zero, the all reference point, is The God. It is everything, unified. The thing that fragmented, the entirety of existence. The No-God is God-As-One. The Sranc, with their brains that run entirely on instinct and have no cognition...they are its slaves because instinct is just the orders you get from the world. The strings that pull on your cognition that you can't see, the play of the world on your brain, these come from the Darkness that comes before. This Darkness is the Absolute is the No-God.
The Dunyain seek to be a self moving soul, but as Koringhus finds out, there is only room for one of those (All Absolutes are the same, no matter where you place the reference point it is still the origin. Put the grid behind anyone's eyes you like, and it'll still be the center), and when he is measured against the all-knowing all-damning condemnation of the Judging Eye he falls far short.
The Judging Eye is the view from zero, the gaze of innocence, judging absolutely and without excuse.
The No-God cannot understand what it is, because the only thing that the origin point cannot see is itself. The Darkness comes before everything, it has strings leading to every mind...except its own. As far as it can tell, it doesn't exist. It has no instincts leading to itself. If cannot see itself with its Eye. It sees a ruined world, but it's bloody hands are forever obscured from it.
So the Gods, Yatwer, Gilgaol, etc, are exactly as we've heard them described. Big fragments of it. All of the Birth-concepts stuck together. They can't see it, because they are a portion of it. Same reason that it can't see itself. They see what comes after, but the No-God has already come before them. They see calamity and blame what they can see, random people.
The souls which most resemble the No-God are those of infants. Entirely innocent, possessing no volition. That's why the Judging eye is housed in one. That's why the No-God's manifestation stops people from being born. When you incarnate it, all of the 'child-ness' goes to one place, instead of flowing to everyone's womb in time, all those souls go to the Whirlwind.
Perhaps the reason that the Inchoroi believe that they can end damnation is that the No-God is everything, and so by changing the world you can change it. Kill enough people, and it loses its ability to blame and curse, to judge and damn. They have harnessed the very measurement that damns them and forced it to war against its own ability to do so.