Your essay is an interesting reading. It segues in part with physics because of quantum mechanics that, as you illustrate with contextuality, does not conform to a purely objective perspective on the universe. We are then in a funny situation with respect to the measurement or phenomenology of quantum mechanics an inability to completely divorce the observer from the subject of observation. Various quantum interpretations are set up to work around this problem, from "shut up and calculate," which amounts to don't worry about this, to ψ-epistemic interpretations that render the wave function unreal to ψ-ontoc interpretations that confer reality to the wave function by in effect fragmenting the observer. The Copenhagen interpretation is ψ-epistemic and the many world or Everettian interpretation is ψ-ontic. Personally I think quantum mechanics is not any of these.
The Wheeler cycle or strange loop is in effect a form of Godel's theorem applied to physics. We could think of a quantum measurement as a case where quantum states encode some quantum states. This loop can never be complete which is one reason maybe that quantum measurement is not understood by any physics. By corollary we have no clear understanding of how the classical world emerges from the quantum world. We can say it does emerge, which would be more ψ-epsitemic, or that it is a complete illusion and manifested in an observer, which would be more ψ-ontic. The apparent self-referential nature of this would lead to an inability to know which type of interpretation holds, and far less which interpretation holds.
Since this is physical we may think more according to Turing machines, which may be thought of as computing existing symbol strings. In this way was have a physical system prior to the computational incompleteness of any putative universal Turing machine. With pure mathematics what is prior or subsequent to what is not important. With physics we have more of this sense with respect to time. Of course this now takes us into deep questions on what we mean by the nature of time. My essay in part touches on this with issues of quantum state entanglements building up spacetime.
It is then my sense that whether matter or mind is primary is not fundamentally decidable. I remember years ago reading Isaac Asimov quip about this:
Matter over mind doesn't matter
Mind over matter, never mind.
This question leads us into a contact region between physics and metaphysics. Metaphysics is something we usually prefer to have a minimum of in physics. However, we seem unable to completely eliminate metaphysics.
Cheers LC