The i1Pro1 came in two versions - a regular one and a UV-cut version - similar like the ColorMunki spectro. The UV-cut Pro1 has a small circular UV filter disk in front ot the sensor, such filter is supposed not to block visible light but only UV-light which is close to the visible light. The spectro calibration takes care of that and a flag in the spectro firmware indicates which UV -version it is.
A pol-filter takes quite a share of the visible light, and I'm afraid the self-calibaration process cannot take care of such modified spectro just with a pol filter in front of it. And there is another question if and how the pol-filter should be aligned to the diffractive element in the sensor.
Here is another publication by XRite
https://www.xrite.com/service-support/450045andannularringilluminationoptics
I'm copying a line of text from there:
'If an object has a specular component of reflection (glare), it will be excluded by 45°/0° illumination automatically. Why? Light that is reflected specularly will be reflected at the same angle as it strikes the object. With 45°/0° illumination optics, light that is reflected away at 45 degrees will not be "viewed" by the spectrophotometer.'
So far so good but if that reflecting surface is not flat like a normal mirror you have a different situation - just assume a glossy textile fabric - which is causing such measuring problems since the specular component of the reflected light goes into every direction .
The problem is not new, and XRite knows about that effect but XRite does not mention it in context of paper profiling at all indicating that there is a functional limit to the 'classical' spectrometers.
I had a semiglossy paper longer time ago which caused problems during profiling - irritating deformations of the gamut volume. It was a pretty glossy paper with a rather coarse structure - I didn't like the look of it anyway but you don't know how a paper looks until you buy it anyway.
I discussed it with the XRite support, and I sent them the scanned data, and they asked me after a longer discussion which paper type was causing the problem. The final answer was that I could not profile that paper correctly with the Pro1 or Pro2 spectros at that time and I should not use that paper.
I'm not implying that the Argyll 875 or 924 profiles by
@pkk are victim of this effect but you should keep it in mind as a possibility . There is one more thing which can be done - creating the profiles with a lower patchcount of the targets - e.g. to start with 100 patches and go to 300 . The above relection effect does not occur at all colors of the target sheet but only at a rather small range of colors and lightness values, and changing the patchcount may just get you around it.