Yea, it would be rather unfortunate terminology to call websites outside the realms of Google and bing as “dark web” as if somehow these services legitimize the internet itself.
as unfair as it may be, a huge part of the usefulness of information is its accessibility, and these search engines currently hold a near-monopoly on which sites can generally be considered readily accessible, ie the 'surface web' above the deep web
That's a really odd way of naming thing.
They are not web, and "not indexed" usually is referred to as "deep web", not "dark web".