> So if changing the rendering intent does make even a small difference

I tested that again and there's no difference at all between perceptual and 
relative colorimetric.
But I tried converting with saturation and absolute colorimetric and gimp 
stdouts that those conversions seem to be not implemented.

gimp_color_transform_new: error making dest format: ProPhoto RGB: absolute 
stauration not supported

and 

gimp_color_transform_new: error making dest format: ProPhoto RGB: absolute 
colormetric not implemented

> In case it might be relevant, which version of babl/GEGL/GIMP are you 
$ gimp -v
GNU Image Manipulation Program version 2.10.22
git-describe: GIMP_2_10_20-217-g0c8a7891f7

gegl 0.4.26 (commit 3371550915bfe10e9e0add87caaf578464305542)
babl 0.1.82 (commit aab30293930236fab173a879f2d9aab95d45db5e)

All from the standard arch/extra repo.

$ uname -roms
Linux 5.9.1-arch1-1 x86_64 GNU/Linux

> Also, which sRGB and ProPhotoRGB ICC profiles are you using - who was the 
> profile provider?

For ProPhotoRGB, it's the colord package from arch with freedesktop as 
upstream. For sRGB, it's the GIMP built-in

Now, you are right that there's one inconsistency, gimp color picker's xyY is 
not the same as to what is being pushed to the operation. I've got the same 
color picker result as you have.

I also reached out on the get issues for gimp and it might have been a known 
issue: https://gitlab.gnome.org/GNOME/gimp/-/issues/5805

M
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