And I don't really see that clear of a distinction between daemons and demons...
"While demons seek to pervert and destroy in endless unholy rampages and devils vex and enslave in hopes of corrupting morals, daemons seek only to consume mortal life itself."
"Four Horsemen... desire slaughter, ruin, and death on a cosmic scale, and drive hordes of their lesser kin to spread terror and sorrow across the planes."
And most of the descriptions seem to just be tied to different kinds of death (Astra=by negative energy drain, Ceusto=suicide, Dergho=insanity, Hydro=drowning, Leuko=plagues, Mela=starvation). Is it just that they're a bit too focused to be chaotic (only mortal life by a particular cause versus a generic rampage?)
I also don't see how their desire to "stand triumphant over cadaverous cosmoses and infinities of silence before also giving way to absolute oblivion" fits with the CRB description of NE. The NE "does whatever she can get away with... she is out for herself pure and simple".
On the other hand it seems to fit better with Jon Cogburn's description of CE in "D&D and Philosophy" were he notes it "is a path that ends in insanity and death" and "destroying everything, including herself."
So, I think I'd vote for moving the moving the daemons to the demon column.
I'll field an explanation here since I literally wrote the Pathfinder book on the daemons.
Daemons are a race of singularly selfish, self-interested entities united by a singular hunger and a rapacious, all-consuming hatred of mortals. The rest of the multiverse can do as it wishes, but in the end, all that matters is that in the wake of their hunger for mortal souls, the stars will have burnt out and only dead, lifeless, perfect husks orbit in silent purity. Daemons thirst for mortal souls, and they embody specific means of mortal death. They are the lost, confused, self-loathing creations of a reality grown sick of itself and begging for release.
Pain doesn't matter. Destruction doesn't matter. Rules, laws, and order doesn't matter. Only that you cease to exist.
They're NE, but it isn't a sane, mortal NE. It's the paradoxical juxtaposition of beings who covet and horde mortal souls and seek to glut themselves on this and to hell with any other pursuit, who desire only to slaughter mortals not for power or the pleasure but because of an eternal, unceasing compulsion and bottomless hatred, and yet these same creatures flock to unify under the banner of the Four Horsemen. They're a race of selfish, self-interested sociopaths who are nonetheless bitterly alone, lost, pitiable, and self-loathing due to the fact that they themselves emerge from mortal souls. And so like lost children they abase themselves to the Horsemen, obeying them like gods, unaware that the Four are just the same as them, worshiping, hating, adoring and feasting upon the Oinodaemon who they overthrew and usurped.