I did some other tests where I filmed the same (static) scene and quickly swapped lenses (to have the same lens on GH13 and GH2). Very similar results.
In this context of an "internet look see" (i.e. not a scientific test) - that's good enough for me.
My comments were not intended to dispute your results, they were suggestions to make an interesting comparison more complete (sorry if I came across as churlish). The tandem camera mount is an excellent method of eliminating scene discrepancies. With other discrepancies removed, diminished or compensated, tests like these can be very useful additions to the record.
Thanks again for your efforts. I understand work pressures!