For example, if I have a webpage "www.linkidex.com/test" which displays a bunch of text, including "HackerNews2022", you need the ability to find this link by searching for `HackerNews2022`, assuming that you haven't named the link `HackerNews2022` or tagged it or categorized it as such?
Some of our competitors have this feature, but this feature comes at a cost. What happens if the given page you have saved changes? What if you save a page "New Laptop setup instructions" and those instructions change? It may be harmful to follow laptop setup instructions that are out of date.
It's ok if bookmarked pages change. It's no different from a normal search engine, you just reduce the scope of a search from the whole internet to some private curated collection. Google CSE is good for that, one just need to write an interface to update it with bookmarked links...