Along the same lines, this is why cameras often show objects in shadows as blacked out -- because that's the actual image it's getting, and the image your own retinas get! It's just that your brain has cleverly subtracted out the impact of the shadow before presenting it to you
That doesn't explain why faithful reproductions of images with shadows don't prompt the same reinterpretation by your brain.
Blacked out shadows are generally an indication of a failure to generate a 'faithful' reproduction due to dynamic range limitations of the camera and/or display medium. There is a fair amount of research into how to work around these limitations through tone mapping. High Dynamic Range cameras and displays are also an area of active research. There's not really anything to explain here beyond the fact that we currently lack the capture or display capability to faithfully reproduce such scenes.
Today I looked at the above illusion and thought, "Why do I keep thinking A and B are different colors? Obviously, something is wrong with how I am thinking about colors." I am being stupid when my I look at this illusion and I interpret the data in such a way to determine distinct colors. My expectations of reality and the information being transmitted and received are not lining up. If they were, the illusion wouldn't be an illusion.
The number 2 is prime; the number 6 is not. What about the number 1? Prime is defined as a natural number with exactly two divisors. 1 is an illusionary prime if you use a poor definition such as, "Prime is a number that is only divisible by itself and 1." Building on these bad assumptions could result in all sorts of weird results much like dividing by 0 can make it look like 2 = 1. What a tricky illusion!
An optical illusion is only bizarre if you are making a bad assumption about how your visual system is supposed to be working. It is a flaw in the Map, not the Territory. I should stop thinking that the visual system is reporting RGB style colors. It isn't. And, now that I know this, I am suddenly curious about what it is reporting. I have dropped a bad belief and am looking for a replacement. In this case, my visual system is distinguishing between something else entirely. Now that I have the right answer, this optical illusion should become as uninteresting as questioning whether 1 is prime. It should stop being weird, bizarre, and incredible. It merely highlights an obvious reality.
Addendum: This post was edited to fix a few problems and errors. If you are at all interested in more details behind the illusion presented here, there are a handful of excellent comments below.