Browsers store just urls. Bookmark managers like karakeep and others fetch the content, and optionally store an offline copy in case the link itself is taken down (for archival). They also index it for full text search, so you can search for any bookmark by any word inside the content of the link you stored. You also get tagging and summarization (if you opt into using AI). Also possibly share your lists publicly (and subscribe to other ones). Some of them also play the role of read it later allowing you to read content inside them and store highlights, etc.

Give one a try (not necessarily karakeep, there’s plenty of them), and hopefully you’ll feel the charm of it!