> (state of being useful): usefulness, value, advantages, benefit, return, merits, virtue, note
where "note" is a synonym of distinction, not utility, and Thesaurus:utility has fewer entries than this. Versatility should be listed in Thesaurus:utility as a related concept.
Furthermore, even if we allow "very useful", that's a far cry from "admitting a large number of uses". The latter requires a search engine to properly map.
Which they've been good at for a while. You could have googled "word meaning admitting a large number of uses" back in 2018 and gotten good answers.
My point is, the tools you've linked to are useful/versatile, but it's not the thesaurus that makes them so useful, it's the digital query engine built on top of the thesaurus.
Importantly to the point being discussed, what you did does not work at all against an actual physical thesaurus book.