Alan not shoot a color chart neutrally, but in his relation wrote that it light with tungsten light and correct wb in camera. From what i know bmd sensor are calibrated to neutral day light, when you change that and later correct color it's obviously that color is different and could be shifted...
Strange thing is that this annotation is only on two or three of cameras tested, most of other cameras not declare how light (color) and correct wb... (yes i downloaded all pdf and read it, just for curiosity).
i think he is more skilled on broadcast video cameras and not on cinema cameras.
Anyway. i learned from many years, from filmstrip to digital sensor that i not shoot with a color light and correct later, i add filter before hit filmstrip or sensor, or i shoot colored light be cuase i want that color.
Most of cameras if shoot with color corrected camera in wb could shift some color, and if you do with strong shifting like tungsten i can tell you that many cameras cannot correct sb only with wb balance, or better, from my experience : gh3,gh5, ump, pocket4k/6, c100mkI, c300, no other i did that kind of test.
If i shoot with tungsten light, and correct wb, i create a weakness on blu channel, by cause i amplify data to balance picture, often is a simply more noise on blue, but sometimes when you have strong warm light you can see a shifhting on pink, red, and blu, like he observe.