I get what you mean, but this is also like saying a butterfly doesn't have color.
The blue in blue eyes (and green) is a structural property, not a pigment property. This is also why eye color changes for these people much more dramatically than people with darker colored eyes (see Hazel eyes).
It's color caused by structure, but that doesn't make it not a color. A lot of things aren't going to "have color" if you use that definition. Including the sky...
Human blood can turn blue when consuming enough (collodial) silver?
Like when rich people consumed food and beverages from pure silver plates (100's of years ago) their blood supposedly turned purple/blueish. Hence the term (at least in Dutch) that "he is of blue blood" = he rich af.
Perhaps, but according to etymonline the term comes from Spain, where certain families described themselves as having "blue blood" to emphasize that they had no Moorish ancestry. The contrast being drawn isn't one between nobles and laborers. It's between indigenous nobles and intrusive nobles.
Eyes can't be blue either.