It’s not really something special about the pigment, as much as it’s about the limitations of your monitor.
Most computer monitors are lcds with a white backlight, and some of that light bleeds through even when a pixel or subpixel is supposed to be displaying black, so with something like prussian blue, there will be more red light coming out of the monitor than would be reflected off the pigment in reality.
There’s also the issue of which wavelengths are the most selective in which type of cones they stimulate, and how tightly your monitor’s color filters select for that one specific wavelength. Basically, you can display yellow by combining red and green, but you can’t make your red more red by mixing in other colors.
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