I made a 17 step neutral gradient (points spaced every 16 RGB steps apart) from black to white. None of the 17 colors i1Profiler picked were neutral and the last 9 colors were identical.
I see a similar small number of patches chosen that Ethan observed. My tif image had 1331 pixels with lab values centered on Lab(70,20,20) with +/- 5 in unit steps around it. 8 of the 20 differ with the last 12 being a repeat of the last for the sRGB tif file. They were generally in or near the set. The ProPhoto tif file extracted a different set as expected since it ignores the tif file colorspace tag. They were more desaturated and much further from the Lab set and were only 6 before they started repeating.
Here's samples, RGB then Lab, from the end of the first 100 "smart" patches to where the additional 20 image colors started repeating. The ProPhoto RGB skin tone patches are simply placed in the wrong spots to optimize those colors.
From sRGB skin tone image extract
98 173.00 186.00 210.00 75.91 1.00 -10.17
99 214.00 225.00 245.00 88.01 1.19 -10.94
100 240.00 251.00 255.00 97.51 -1.10 -4.49
101 199.00 156.00 149.00 72.77 10.86 18.23
102 204.00 147.00 156.00 72.33 16.46 15.31
103 213.00 154.00 152.00 74.78 15.75 20.24
104 195.00 147.00 134.00 70.18 12.30 22.29
105 195.00 136.00 138.00 68.19 17.36 19.13
106 202.00 157.00 160.00 73.76 12.28 14.27
107 185.00 144.00 134.00 67.89 10.65 18.90
108 187.00 138.00 146.00 67.43 14.91 13.59
109 187.00 138.00 146.00 67.43 14.91 13.59
110 187.00 138.00 146.00 67.43 14.91 13.59
From ProPhoto RGB skin tone image extract
98 173.00 186.00 210.00 75.91 1.00 -10.17
99 214.00 225.00 245.00 88.01 1.19 -10.94
100 240.00 251.00 255.00 97.51 -1.10 -4.49
101 163.00 146.00 127.00 64.34 3.37 16.23
102 180.00 159.00 146.00 69.60 4.19 14.30
103 151.00 132.00 122.00 59.65 5.64 12.48
104 145.00 138.00 106.00 59.99 0.34 19.21
105 180.00 168.00 135.00 70.55 -0.11 20.72
106 154.00 131.00 126.00 60.14 7.23 11.27
107 154.00 131.00 126.00 60.14 7.23 11.27
108 154.00 131.00 126.00 60.14 7.23 11.27
I like the idea of taking a look at the near neutrals. The Pro1000 has a strong hue shift in the first 25% of the device neutral axis and the 8x8x8 base grid doesn't track it very well.
BTW, my dEs stats are measured against a reference Argyll profile made from about 8000 patches. It gives pretty repeatable results against the I1Profiler since it had different algorithms and 3DLUT spacing. I was mainly using this to discover the weird anomalies that I1Profiler creates sometimes when RGB values are varied by tiny amounts as discussed on another thread. Easy to adapt to test the optimizer. Hard to believe how messed up it is. But then even on regular charts I1PRofiler has had the problem of truncating RGB values stored in their profiles while rounding the ones used to create or print the tif targets. About half the RGB values in the tif images are higher by one than in the pxf file or internal storage when created by their patch generator. Just throws in another smallish error that no one ever notices.