After the 1st test, I brought the same set of three cameras out in the field, and did some more. And the result was the same, only to find D4 footage unbearably soft.
5D2 still showed some moire here and there although it had VAF-5D2 filter in it.
GH2 was the only one to capture true 1080p image throughout.
Please download the original data to see the difference!
D4: with AF-S Nikkor 24-70mm f/2.8G ED
5D2: with EF24-70mm f/2.8L USM, VAF-5D2 Moire Filter, Flaat_2 Picture Style
GH2: with Nokton 25mm f/0.95, bkmcwd GOP3ZILLA_V2.0