Link back to Search Results does not "remember" search criteria, instead returns every contact record in the DB

If you run an advanced search, and you get a list of search results, and you click on one of the names, you see the screenshots that I have attached (for multiple versions of CiviCRM).

In the breadcrumbs, one of the links says "search results" and you would expect that if you clicked it, you would get the same screen as if you hit the Back button in your browser, which is the list of results for the criteria you just searched for.

Instead, you get a result of every contact record in the database, and no search criteria is specified. This is so counter-intuitive, it appears to be a bug.