These are kept separate from blues in part by mental habit and in part by a difference in history. The traditional blue-black is a reactive ink; blue dye included so you can see what you’re writing, black as it bonds with the cellulose in the paper (or in the cotton of your shirt; it’s not fussy). Modern inks mostly don’t do this any more, and some merely retain the name.
Clicking on the sample will take you to the page for that brand of ink.