I don’t quite understand the question, and as a physicalist I think the colour realism debate is IMO rather a storm in a teacup (as that article indeed argues). Human visual cognition uses all kinds of mechanisms to arrive at the output “the colour I reckon that thing there is”, some of which can yield mutually exclusive outputs (such as in the clever creations you mentioned). Let us put these “optical illusions” (a phrase I might question in the course of the thread) to one side for the moment, to return to them later.
For now, let’s talk wavelengths. If EM radiation of 520-570 nm is incident on my retina, I will say “I can see the colour green”. Again, note that there are other ways to get me to say this which I’m not addressing yet. But in this specific experiment, this wavelength is directly causative: turn the wavelength on, I see green. Turn it off (again, let’s wait for the cells to return to their default state so I’m not merely seeing the ghost image from their decaying activity after switch-off), I don’t see green. In this instance, EM radiation of 520-570 nm is causing me to see green: it is not “coincidence” if it makes me see green every single time and makes the green disappear every time it is turned off.
Now, is this to say that the radiation is the colour green? I wouldn’t be particularly interested in mounting that semantic carousel, really. I’d suggest it’s perfectly useful shorthand, which only the most obtuse of pedants would object to, to say that those wavelengths are green (while acknowledging that there are other ways to get my visual cognitive modules to output “green” even when those wavelengths are absent).
So, sticking with the wavelengths, let us wander back through the timeline of evolution. Those wavelengths of 520-570 nm are useful to all kinds of organisms (and, again, many of them might also guess it was seeing those wavelengths when viewing other wavelengths in a clever experiment designed to target other aspects of visual cognition such as relative instensity as in the checkerboard). The premise has been set forth that bees are conscious, which I’ll accept for the time being, so let’s wander further back.
The wavelengths 520-570 nm are amongst the ones not used by an important chemical, so it reflects them instead of absorbing them, while other parts do absorb these wavelengths. So is the colour green anything to do with trees and their fruit, even when there’s nobody around? The leaves are still reflecting their 520-570 nm, so if I or a bee were to enter its vicinity on a sunny day, we would indeed see the colour green. Again, I would find it rather tiresome to debate the difference between “the trees are green” and “the trees cause me to see green” since we all understand what the former means.
So when those wavelengths from the leaf are absorbed by the fruit, is the “fruit seeing green”? The wavelengths in this case are involved in a simple chemical reaction, rather like if they were incident on the silver halide emulsion on the film in a camera (or the CMOS sensor in a digicam). But the same can be said about the retinal glial cells in my (or the bee’s) retina.
Why do we say that I can “see”, and the bee can “see”, but the fruit (or the earthworm, or Stevie Wonder) can’t? I’d suggest a definition based on consequences: Both I and the bee can carry out alternative actions based on the electrochemical signals from the cells those wavelengths were incident on being processed in working memory. The fruit, worm and Stevie cannot. And, of course, a camera could be attached to a robot, yielding an ability to act upon the wavelengths upon its sensors, and thus become as conscious as a bee (if such they are).
So, back to the question: is the colour green “causally efficacious” on the interaction between the sunlight, leaf and fruit? The 520-570 nm certainly cause chemical reactions in the cells of the fruit just as they do in the cells of my retina, or the bee’s, and I’d suggest that calling fruit conscious is bananas (OK, I know it’s really a herb).
And that’s why I don’t understand the question. It appears to define “consciousness” as being indispensable to “colour”, in which case there’s no such thing by definition as colour causation in a non-conscious interaction like the sunlight, leaf and fruit. A physical explanation of consciousness will necessarily make references to wavelengths. That does not mean that everything those wavelengths hit is conscious. (It sometimes amazes me that I have to make these kinds of points at all, but that’s philosophy for you I guess).
So finally, what about “optical illusions” like the checkerboard? Well, if our actions were based solely on the wavelengths and nothing else, we’d come a cropper pretty early on in our evolution since we would literally be jumping at shadows throughout our panic-stricken lives. Our visual cognitive modules are evolutionarily adapted to ignore shadow information so as to be better able to identify real threats. And it is that “ignoring” mechanism which leads to the strange differential output for the two identical wavelengths from each square. Interesting, certainly, but it doesn’t impugn the premise that the brain is a computer any more than a speed camera being foiled by a highly reflective license plate. And in the “green” flashing lights example, those 520-570 nm wavelengths just aren’t there. However, one simply could not say that the green lights were nothing to do with wavelengths, because the pink lights which are there are the “burnt in” inverted spectrum of the green lights. Again, just because I can cleverly be made to see the colour I usually get from 520-570 nm even when those wavelengths aren;t being reflected doesn’t mean that colour is nothing to do with wavelentghs - there is still a physical explanation of my seeing “green”.
So, if we wanted to design a computer which saw colour exactly like homo sapiens (although what the point of that endeavour would be escapes me), we’d have to include “shadow ignoring” subprocesses and use light sensors which produce afterimages like the cones in our retina, so that the computer made the same “mistakes” as us.