Based on the title I thought this was a personal call-out to me and others like me who obsessively bookmark/save links and yet seldom even glance at their collection.
This is (tragically) the reason why I remain a tab hoarder: the UI carries an implicit nudge (a costly signal of visual real estate), for my future self to engage with it.
In a similar spirit to OP: it did help mitigate the hoarding, when I began thinking "how hard is it to find this resource/reference again, should I actually need it?". And if it's trivial to google (and mnemonically sticky enough I can trust my future self to remember it), I can close the tab.
I keep thinking about something like a search engine integration that would suggest relevant bookmarks at the top of your search results. It might have been even cooler back when we had things like delicio.us and if we could have gotten recommended relevant links from people we followed's bookmarks too. But even knowing how to code like I do I sorta can't think of how to do it, maybe a browser extension that injects over google? I guess I've more thought about how it would interact than how to actually make it.
I use Linkding, and there is https://github.com/Fivefold/linkding-injector which does exactly what you described. I don't use it, though. Usually it brings up irrelevant results, and in the rare case that it would have brought up useful ones, the Firefox search bar history-based autocomplete got me there first.
In a similar spirit to OP: it did help mitigate the hoarding, when I began thinking "how hard is it to find this resource/reference again, should I actually need it?". And if it's trivial to google (and mnemonically sticky enough I can trust my future self to remember it), I can close the tab.