One of the classic sayings that we have to drill into the heads of print designers comes to mind.
The Internet is NOT print... worse though, those color choices likely have contrast issues in terms of text if they are all that's used, even in print; though the emissive vs. reflective formulas are different the principle is the same -- and unless you're using yellow on the blue, and not putting text on the red at all, there's insufficient contrast for the text to be legible in the first place.
That said, I'd have to see an example of how it's used in print to truly weigh in on it, but I would likely try to limit things to one or two color spectrums, not three... though an occasional splash of conflict/contrast can tighten up the design.
The big thing in my mind would remain color contrast of text on background... The yellow is ok on the black or the blue -- the red is useless as a background OR as text compared to the other colors -- thanks to that yellow not being 'true' enough.... spectrum cleaning to FF0000, FFFF00, 0066AA, and 000000 may be a bit more 'workable' in that regard as then the red is dark enough to work with the yellow for foreground/background (though useless with the blue or black). Maintaining at LEAST 50% luminance (and ideally 75%) difference is always a challenge, especially if you're dealing with print designs made by people who may have learned colorspace, but never learned how it relates to legibility of text.
... or how the rules are different for print (reflective) vs. screen (emissive).