Which papers do you see this with?
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I did not do any real investigation, but...
1 hP HM smooth fine art paper- the reds of the standard profile are more intense ( larger gamut)
2
At the moment I am using a less sophisticated paper- HP coated paper- also there I find the brighter colours with the standard profile and a very different behaviour when changing the rendering intent.
I use the paper setting as HP has indicated.
My idea is that there are better ways to get the best out of the ink- paper combination than by simply using the APS- system alone. HP I guess, has put more time and effort into it than I can de with only the APS- system.