Earlier quoted context omitted.
Kind of does exist even with colors: try to map "brown" into an RGB or CMYK data point. I think the real difference is that in qualitative data the numerical representation does not mean anything. Sure, the names of the archangels can be represented digitally (quantitative) but that is just a change of representation - the bit strings' numerical value carries no theological meaning.
Brown is (165,42,42). You can argue about false precision, but the term “brown” has false precision as well. The likely variation in interpretations can be described by error bars. Your understanding of someone saying “brown” is informed entirely by statistical inference of your past experience with “brown”. Changing the representation of the names doesn’t matter, but attempting to understand the meaning behind the n…
To respond to your edit: That is not brown... there is a whole science of color perception, have a look.