You argue against probabilities having a 'fundamental, irremovable status in quantum theory'.
I think the layman's view of what your saying is that probabilities are not fundamental to the Cosmos, and there is therefore an absolute reality that we can know completely.
But the It-Bit question does not only pertain to the measurement of quanta, or the probabilities thereof - even if this is what inspired Wheeler to make his statement.
It is a much bigger question than that.
Even if the emergence of random outcomes can be explained in a variety of ways, the nature of Bit remains unchanged: It is information, and ultimately - even in mathematics and physics - it defines the Observer's patch of reality at a given moment.
Regardless of how we ultimately account for the phenomena of the quantum world, there will still be a greater reality beyond human cognition; the observer does not interact with the whole field of reality regardless of how probabilities emerge. Mathematics is the projection of the human mind on to the Cosmos - and it is only bits!
Though it is doubtless critical to investigate quantum reality as thoroughly as you do, it is also necessary to define the relationship between the Observer and the field of observation. What we must ask is: 'Why do Bits 'match' Its so consistently at every instant of evolution?'
There is indeed cause to doubt which quantum model should be adopted, a point you make very thoroughly - but even if we could describe the quantum world in perfect mathematical language, we would still have only described some small part of our Cosmos perfectly; and we would nonetheless still be involved in our distinctive human Cosmos ... one that displays a continuous correlation between Bit and It over the course of evolution.
As you can probably tell, this is one of the strands of my essay.
Believe me, I found your work highly informative and very interesting, and my objections only relate to the implicit parameters within which you are framing your conclusions - ie: that adopting one quantum model over another causes the concept of It-Bit duality to 'vanish into thin air'.
I believe that a definition of Information underlies your thought as it does mine, and that it would be very positive if your parameters were expanded so that you might precisely define the Correlation of Bit to It, as I do.
I am eager to hear your feedback, of course, and to know what you think of my essay.
All the best!
John