Where, pray tell, has it been "confirmed" all over the place that pixel size has nothing to do with ISO noise performance?
Smaller pixels perform better at high-ISO all the way until read noise starts to dominate (which is way, way out there for most sensors). These were shot at the same ISO, same shutter speed, same f-stop, same focal length, both use the same sensor area, both were shot in raw and processed in the same software. The pixel area is different by a factor of 16. The processed images on the far right column tell the story - the smaller pixels preserved more detail with less noise than the bigger pixels did even though they were set at their maximum ISO.
http://photos.imageevent.com/sipphoto/samplepictures/Pixel%20density%20test%20results.jpg
That test is extremely poorly done.
And yet, you have nothing to say what about it was poor except that the answer isn't what you expected it to be. Two cameras, same generation, same f-stop, shutter speed, focal length, ISO, light level, sensor size, capture method and processing. The only significant difference is the pixel size, and it's different by such a large amount (factor of 16) that it swamps out other minor effects.
The reality of the situation is that generally the more pixels you have, the more noise a camera will have. Not because the pixels somehow cause the noise, but because it reduces the light gathering ability of the camera's sensor. To actually put more pixels on a sensor you have to make the pixel wells themselves smaller.
And there's more of them. The overall effective fill factor is about the same between the 5D and the G12. So I wouldn't hang the hat of your argument on that issue.
It's like dividing a house up into rooms. A house with just one big room has a lot more space than a house with walls everywhere. On top of that the current generation of sensors has the wiring for the pixels on the front of the sensor, meaning the more pixels you have the more wiring you have which isn't capturing photons.
House rooms don't have microlenses.
So in general assuming everything is equal more pixels means more noise.
No. It means the pixels have more noise, and the sensor has the same photon capture with more detail.
The test you posted obviously has the variables skewed to show otherwise likely by comparing a body which isn't very advanced to one that is. Furthermore most camera manufacturers lie about their iso settings to the point where they are inflated by 80% in many cases. So the camera is shooting at iso 900 but it says iso 1600 on the display. So comparing cameras outside a lab setting isn't very useful.
None of that is relevant because f-stop, shutter speed and focal length were the same. Thus, the number of photons that struck the sensor was the same. ISO calibration is irrelevant.
Anyways I encourage people to read about the quantum efficiency of a sensor:
http://www.sensorgen.info/
Often times a camera will go up from on generation to another both in reducing noise and increasing resolution, like the 1D III to the 1D IV through superior sensor design. Other times you have cases like the D3s and D3x where the D3x has twice as much noise and twice as much resolution than the D3s.
The sensors I tested were of the same generation and of about the same QE.