I printed couple of the test charts you reference successfully. The prints look perfect except of course a magenta tinge to the blue on the smooth transition in the 3rd vertical stripe, which is "pure" B.
To me this seems to suggest that the printer side of things is not causing your issues.
Can you elaborate please what you mean, or how soft-proofing could go wrong? In Lr I use the softproofing interface inside Develop Module, utilize the ICC profile I intend to use and go forward with the adjustments I need to make.
Okay, not much else you can do in LR. Does the test chart on display look like the print, or is it just that the printed output shadows are not blocked up, unlike those in your problem image ?
It's strange that this particular file is causing you problems, while past images printed as expected.
I agree with Andrew, first check the display contrast. Your display setting of 80 cd/sq.m does not seem too bright, although it also depends on how dark the workplace is. The question now becomes how dark are the display blacks (e.g. 0.6 cd/sq.m), i.e. how it the display contrast? Most inkjet papers struggle to get much above 7 stops (deltaD=2.1) of Dmax-Dmin, so getting your display in that same range would get you in a comparable ballpark, assuming decent linearity of the output profile.
Then comes the comparison with output next to the display, which is always difficult due to the different media and workplace lighting conditions.
Cheers,
Bart