That's not what I get. I opened them in Photoshop, using the embedded profile as Working space. The second (sRGB) image looks much like your snapshot, but with the first one (Adobe RGB), the left side looks darker and more saturated than the right.
I'm not sure why they should look the same.
Can you explain to me again the logic behind the panels of alternate pixels of different colours please?
I'm quite sure my monitor is calibrated/profiled correctly - in fact I've tried this on two different dissimilar monitors, both wide-gamut, but calibrated/profiled with different software.
Algorithm is simple. Let's take the first patch as an example.
1. Zoom in max on the left side. You will see a repeating pattern of 3 highly saturated cyan pixels and 1 pixel that is slightly orange.
2. Convert the Adobe RGB values for the cyan and orange pixels into X,Y, and Z standard CIE colors. These are linear (gamma 1)
3. Average the XYZ values of the 4 pixels.
4. Measure the RGB values of the solid cyan on the right side of the patch. These are all the same.
5. Convert to X, Y, Z.
6. They will match within small rounding errors.
You can use brucelindbloom's excellent site
http://www.brucelindbloom.com/ which has a color calculator making it easy to get X,Y,Z values from a color in any standard colorspace.
As for what you are seeing, I would guess that it may be due to monitor interpolation. The monitor must be run at native pixel resolution.
Many hi-rez monitors are run at a reduced, simulated resolution to make lettering look larger and they don't properly interpolate color in those modes.
In fact I just checked my CG318 and CG301 monitors. When the monitor is not set to native resolution the colors on the left are significantly more saturated. One way to mitigate this and tell if your monitor (or possibly the OS) is interpolating pixels is to zoom up 800% and let the patch take up most of the monitor. Then back way off of the monitor 10 or 20 feet and you should see the right and left sides much closer to the same color.
The 3 cyan pixels on the left side are highly saturated at the Adobe gamut's edge. When combined with the slightly orange pixel the color saturation is reduced to the edge of the sRGB gamut. If the display is capable of Adobe RGB at that cyan color it will, when combined with the orange pixel, produce the same cyan color as the solid pixels on the right side of the patch which are on the boundary of sRGB.
I decided to check the left/right side colors with Patchtool and they match to about .5 dE1976.
I can think of one other possible reason. It's possible the monitor itself is doing some sort of spacial interpolation to compensate for the fact that the red, green, and blue pixels are slightly offset from each other. There were techniques that did that with text to make fonts look better. There were "fine tuning" dialogs where you were asked to choose the image with the best text clarity. It's entirely possible some monitors do that internally since they know the positions of the RGB elements. If you have a macro lens and take a closeup of the monitor's pixels at the patch transition it might provide insight. And, if this is the case I can think of a workaround.