Excellent post and I agree completely.
To me, as a user, bookmarking is tentative act of note taking for the Web. I use it as a utility and expect every app to provide this fundamental service.
However, actively bookmarking content is too burdensome to manage across devices and platforms and adds to the cognitive load (do I really want to bookmark this?).
I rarely have time to organize bookmarks into something meaningful, so I usually hesitate and think of alternative (more open) ways to “save” content, which creates overall friction.
Instead, I need a way to turn native content into manageable signal of interest that I can direct and interact with dynamically over time.
Today, I depend on ambient streams of opened tab lists and browser cache / history that I prune and cache for various reasons (including this post). If you step back and look at these links collectively, you can see a “database of intentions” as you and Battelle describe. And it’s largely ambient in nature.