The Faceted Search module produces a result set that looks almost exactly like Drupal's core search results. However, it does not use the search-results.tpl.php file. Rather, it uses it's own theming function: theme_faceted_search_ui_search_item().
You can, of course, set your own theme function to override this.
Here's a quick example of how I modified the way that users are displayed in the results: