Monitoring a backlit screen is a little different game than working with film and paper dyes, though all three generally share the same 3-axis CIE color
mapping theory. Opaque pigment (including inkjet) are better served with a 4-axis model where tone based upon white is plotted apart from tint based
upon hypothetical black (there is no such thing as a pure black pigment, but this is the theory). This also helps in the printing industry where CMYK needs black to enforce deeper shades which can not do so by themselves (even though in theory this is achievable). The distinction between additive RGB in color vision and projected light from CMY process colors is known to many, so no need to comment here. Inkjet systems using many different hues of ink, obviously, and must do so due to the near impossibility of finding relatively permanent pure CMYK options that are even capable of passing through those tiny nozzles like dyes can. But there are no perfect dyes either, so all even advanced dye printing machines use a complex blend. With office printers, quality of color reproduction can be compromised. Then in tripack films and papers there are all kinds of secondary issues in the way these layers interact, and in the case of color neg film, how the masking layer works - way over my head, except to note how once again, although every single one of these systems can be quantified using standard color mapping, that is no the same thing as creating consistent color devoid of metamerism. To do that, you'd have to created a separate map for every real-world lighting scenario and not just a standard lab illuminant. This is just the tip of the iceberg. It's hard enough finding an ideal dye set even in something like dye transfer printing where you need only three dyes and have 75 years of track
record of choices. Complex masking or delicate combinations of dyes are required to balance inherent spectral flaws in any of them, not to mention
how the flaws in color film itself give a biased viewpoint to begin with.