Toshi VS amazon

I don't think you have an active project that addresses all those use cases. There was an attempt in Rust with Toshi that is built on top of tantivy, but the project seems to have stalled.

I wish we had an extension like ZomboDB but using a lighter search engine like https://github.com/quickwit-oss/quickwit, https://github.com/toshi-search/Toshi and https://github.com/mosuka/bayard

Here I'm listing engines based on https://github.com/quickwit-oss/tantivy - tantivy is comparable to Lucene in its scope - but I'm sure there are other engines that could tackle ElasticSearch.

Another thing that could happen is maybe directly embed tantivy in Postgres using an extension, perhaps this could be an option too.

I do something similar, though I index the page myself via a little browser extension I wrote. I click a button, the content gets POSTed to a server that throws it in Toshi[1]. I hacked it together on a Saturday, and it's been pretty handy; as you describe, much more useful than any bookmarking approach I've tried before.

[1] https://github.com/toshi-search/Toshi

There is some incredible work being done in the web department, frameworks like rocket.rs and actix.rs are amazing. To get the latest info on web development in Rust, check arewewebyet.org. It doesn't list Toshi though, which is weird.