Thank-you for the hard work.
I took a look at the 70-200 @ 70 Test 1 shots on a NEC PA241 wide gamut.
I notice that the white balance is different - the 5DmII at 4450 and the 5DmIII at 4600.
Attached a couple crops from the same images, 5DmII on top, 5DmIII on bottom.
Sharpness - They are very close, but I do see some artifact/pattern on the 5DmII side - especially in the "10" section. Its slightly there on the 5DmIII. Zoom up on the "9" and you'll see definite diagonal banding on the 5DmII. To be fair, it looks like the shots were not exactly the same size as the 5DmIII looks a bit wider (see the right side lineup).
Color - Also very close, but the very subtle shading - the stain above the "S" and the blue stripes, look fuller / slightly more saturated on the 5DmIII. The red blocks on the 5DmII look redder - could be the white balance.
Now this is just one sample crop. Interested in other analysis.
Please note, I used Adobe DNG Converter to clean process the 5DmIII CR2's. Its a clean convert I understand.