When I first saw your post, I was going to ask about the 1st paper type, but I see you have spotted that matt/fine art type papers cannot reproduce the contrast of gloss or semi-gloss.
Soft proofing relies on having very accurate profiles for both printer & monitor because there are 2 conversions going on.
The real test is a real print, every time.
BTW: I tried adjusting the brightness down in Qimage. But even then the soft-proofed image looks washed out.
I have noted that there are many queries about prints being too dark or too light compared with the monitor; I believe that is often due to the brightness setting of the monitor. I do very well with my Eizo LCD set to 120Cd/M2; others set their monitor brightness to match the print.
Terry