The answer is in the rest of the sentence that you truncated!
It's not clear to me that's a complete response. It seems to be assuming that all instances of disagreement between reductionists and non-reductionists are linguistic, rather than causal. It looks to me like Bryan thinks that his qualia, like pain, are actually out there, and are not just very complicated ensembles of things reductionists like building models out of, like quarks and wavefunctions and so on.
It seems like attempting to resolve Bryan's disagreement with Robin about where Bryan's pain is located (B's "in my mind, not my brain" vs. R's "in your brain, which is also your mind") by claiming "well, of course Bryan's mental model of his pain doesn't exist in reality by definition" seems to be assuming definitions of 'mental model,' 'pain,' and 'reality' that I don't think Bryan would agree with.
Computers have hardware and information: that's a dualist model, and it has served very well as a model. At any given instant, the information is a state of the hardware, which requires a monist model, but it's information that is downloaded etc.
What do you mean when you say "but it's information that is downloaded"? That the monist model does not completely describe reality? That computer programming is easier with the dualist model than the monist model? That information lives in a nonphysical universe that communicates with the physical universe, such that only having the physical universe would be insufficient for computers to run?
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What made your characterization one of greedy reduction in my eyse was this
Describe it at whatever level is most convenient. All levels are real to the extent that they model accurately.
I'm still puzzled, as you seem to be both defending and contradicting EY's view that:
I'm not actually attacking this view so much as regarding it as a particular convention or definition of reality rather than a "thesis".
Perhaps you are reading "best characterized as" as "best modelled as"? I'm not saying that, just that this is the sense of "reality" that EY/the wiki writer prefers to adopt.