So, I found this part again:
Occasionally, Cnaiür spoke to them, learned something of their lean ways. They called themselves the Last Children of the Inchoroi, though they were loath to speak of their “Old Fathers.” They claimed to be Keepers of the Inverse Fire, though the merest question regarding either their “keeping” or their “fire” pitched them into confusion. They never complained, save to say they hungered for unspeakable congress, or to insist they were falling—always falling. They declared he could trust them, because their Old Father had made them his slaves. They were, they said, dogs that would sooner starve than snap meat from a stranger’s hand.
They carried, Cnaiür could see, the spark of the void within them. Like the Sranc.
So, "Last Children of the Inchoroi" seems to mean that they are the last, or possibly meaning the latest, creation of the Tekne. We know that "Old Father" refers the Consult.
What I think is interesting is the idea that they are "Keepers of the Inverse Fire." Now, at first, reading that as Tenders of the Inverse Fire yields us nothing, only more questions. What I thought up, after ruminating on what we learn in False Sun and what Wutteät says about himself:
"IT IS MY CURSE TO BREATHE, SO LONG AS THE WORLD LIVES."
...
"He dies from the outside," Cleric said, "because Hell sustains him from within."
"CUNNING..." the Wracu groaned out from the black. "CUNNING-CUNNING ISHROI!"
It is my theory that skin-spies, are Keepers, in the sense that they keep the Inverse Fire within themselves. In other words, the Inverse Fire is their substitute souls, that which animates them. Sranc and Bashrag are probably the same as well. This is why they can't even fathom what the Inverse Fire is either, how well can anyone describe their soul?
Last, is what is this part saying they only complain "to insist they were falling—always falling" actually telling us? Something about the nature of the Inverse Fire perhaps?