I'm not "converting" to respond to your question. I am just printing the images, and changing from 8 bit to 16 bit in the Canon 8400 driver. Yes, it is the setting there that makes the difference. At least in LR.
Just finished printing your test pattern, as we'll as one from Atkinson. The difference is striking. The 8 bit version is clearly correct in terms of facial tones, and that is especially evident in the photo of the older white woman on the right. The 8 bit version has some pink in the skin tones, whereas the 16 bit is clearly tan.
The other differences are even more evident. The vertical color stripes on the left**, directly under the photos of the three women. The stripes in the 8 bit version are gradual in in how they change color. Not so in the 16 bit. Of the three 16 bit stripes in the top set of vertical strikes, the stripe on the right is blue. In the 8 bit the color transition is gradual and I would describe the color as light cyan. In the 16 bit, it is darker blue, with a solid color in the top half, and half way down, there is an abrupt change in the blue, almost like a line. This behavior is repeated in the next set of three stripes down, in the middle stripe. In the 8 bit it is a gradual transition of green. In the 16 bit it again is a solid green on the top half, and abruptly changes like a line. In the 8 bit the two dogs are white or grey as clearly intended. In the 16 bit there is a light but clear brownish cast.
In your test image there is a block of color, under the three women, and to the right of the vertical stripes described above. The 8 bit prints fine. In the 16 bit, the transition of the blue is almost like a line, and that is repeated on the green.
The Atkinson test pattern is 12 blocks of color each of which have transitions to other colors. On three of them, for lack of a better way to describe it, it looks like the colors bleed on the edges.
I just finished printing a second time, and the results are repeated.
Anyone else with an 8400, using an iMac and OS 10.11.3, with Lightroom CC, can download Andrew's test image, and try it yourself. It would be interesting to know if anyone else repeats these results.
**My first post said on the right, and I corrected that -- it is the stripes on the left under the photo of the woman furtherest over on the left.