Or are you referring to other printing methods, say for example silk screening? There, you would definitely select a specific ink to use. It just depends on what your goals are.
Anyway, yes, professional printing can go beyond just CMYK in various ways.
But if the paper can't be assumed to be white, CMY need to be opaque, otherwise yellow on black paper would just look black. Then you can no longer create red, green and blue. So you need additional red, green and blue pigment, likewise opaque. So "CMYRGBKW". Then the other colors can be mixed via dithering the eight base colors as usual.
Or maybe your printer still needs white paper, and the white pigment has some other use?
Looking at the artwork on my wall, there’s two big things that set prints apart from an original artwork. 1. Computer software doesn’t capture the imperfection of a physical medium. 2. Printers can’t reproduce the texture of layered colors.
I have Epson EcoTank, which is great since I can refill it from the ink bottles (even non-Epson), but since it gets only occasional use for color printing, almost every time I have to clean nozzles before printing in color.
The only real issue is it’s very slow. It takes minutes to wake up and full-color photo-quality A4 prints take at least a minute. More if you’re doing 13x19.
Now, if you’re doing fast full-color on cheap office paper, you bought the wrong printer. :)
My experience with Epson printers is they use absolute obscene amounts of ink and gum up if they get lonely.