One of the most interesting traits of the No-God is the seeming disconnect between its actions and statements. While its statements perhaps signal a sort of existential confusion, its actions are precise and show clear intentionality, which is corroborated by various accounts (Aurang's, Skafra's, to an extent Wutteat's) testifying to the agency of the No-God. It does things, it's not just a predetermined algorithm, at least not from the point of view of its intelligent servants. It possesses all the common signs of intentionality in its actions.
The issue, thus, is in its statements. I would say that this disconnect outlines Bakker's original framing of the philosophical zombie thought experiment - here, the aforementioned zombie is behaving intelligently, but, if we're to go by its own account, doesn't recognize it itself. It lacks a crucial something that makes humans human, the exact something the philosophical zombie experiment endeavors to pinpoint. I'm currently unprepared to make any assumptions as to how that might work or what it might ultimately mean.
Returning to the question at hand, my guess is, any further pronouncements of the No-God would only strengthen the framework of Bakker's take on the philosophical zombie idea. One thing I want to note is that I don't believe the Insertant retains in any way enough identity to impact the System while it's operational, although maybe at the end of the cycle, when the System is less stable, that might change. During the First Apocalypse, the No-God was active for nearly 12 years, and the number 12 appears to be thematic for both TSA and the Book of Revelations (the biblical Apocalypse), being present in the much discussed 144000.