In my (I hope equally) humble opinion, this is not the right way to go. Get the monitor right, don't compensate for the error in post processing.
Ha! The battle of two equally humble opinionators!
In all seriousness, I thought that lowering luminance is
(a part of) "getting the monitor right," no? There should be no "error" to compensate for if the monitor is properly calibrated, which would include a proper luminance. This, of course, should be done only once (during calibration/profiling), not for every paper/print combination.
Now, about that "blue to orange transition in the sky." It seems that is yet another sign that the monitor is too bright. Bring the luminance down, and you might start seeing some (or all) of that orange back. It might be simply overblown by exposure (though not in camera, but by "overexposure" of the monitor).
If you ever shot film, especially transparencies, you will remember that how much shadow detail you can see depended on the light source behind the slide film. If weak light, your shadows would certainly look blocked. Keep increasing the light and you will start to see details in the shadows. Do it too much and you will blow highlights, just like in-camera exposure.
Monitor is just like a light source for transparencies, i.e., it emits light, vs. prints that reflect it.
It might be just an impression, but just by looking at your supplied photo of the setup, one gets the impression that the monitor is too bright and too blue (relative to the print). In other words, either the monitor's white point is off, or your room lighting is too warm.