It seems to me that published pages cannot be searched.
When I’m looking up a published page, e.g., by slug or keyword, I would like to see it appearing in the search results. Also, entering /pub/in the search field may list available published pages. Or going to the /pub path should index published pages, eventually with sorting (created_at, slug alphabetical, title alphabetical, latest…)—this index should also be available via RSS.