I have not been able to dig very deep into the printer calibration issue, Iliah.
The reason for this post is to show a quick scan of prints showing the problem (see attachment) so that whoever kindly contributes to the thread has an impression of what the problem looks like. Never mind the areas in the clothing that appear to be blown out, this is a scanning artefact (they're not blown out in the file nor on paper).
From top left, clockwise:
- print on Hahnemuehle German Etching (HMGeEt), printer managed colors - corresponds very well to what I see on screen (and to what I see in reality, for that matter...it's my daughter after all...)
- print on HP Advanced glossy paper, PS managed colors with canned profile - very good match (on paper, the difference to the HMGeEt print is even less than it appears here)
- print on HMGeEt, PS managed color, CM turned off in printer driver - one of many such prints
- image converted to the HMGeEt profile, print on HMGeEt, 'printer manages colors' in PS, CM off in printer driver. I get some of the red back, but the green tint is still strong, and tones are not correct.
I'll further explore the suboptimal printer calibration / weak profile hypothesis put forth by Iliah, but I am still leaning rather to the hypothesis that no color management is going on.
However, IMO the display and the display profile are not to blame. I've checked the display calibration and profile thoroughly, a check with DispcalGUI yields low deltaE numbers.