Not sure why there's a mystique over the "dark web", they're all still just websites, and suffer the same types of vulnerabilities.
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".