For now, the saved search feature is available in the Faceted Search addon.
It could make sense to have this kind of feature at "low level" through the content view to be able to save its search document (with the required generic facet, ...)
We can think about having a generic folder in the user workspace (or in the home?) listing all saved searches through a custom content view.
=> We then can remove the custom code handling saved searches in faceted search, and use the generic one in faceted search and DAM.