sublime-status-message | Custom status bar for sublime

There isn't any mechanism by which a plugin can remove items from the status bar, they can only add extra items to it. Such added items appear to the left of the status bar items that Sublime generates on it's own such as the cursor position information or the find information that you're currently unable to see.

As such what you're actually experiencing is not that the default information has been removed but instead it's been pushed to the right of the status bar. If there is a lot of extra status information added or the window is narrow, that would have the effect of having those items appear to be gone because they're off the edge of the window.

Items added to the status bar remain for the current session until the plugin that added them removes them again. Most plugins that add items to the status bar likely don't track their own removal and remove any status items that they added.

To be fully rid of status items you don't want, after removing the offending plugin (to make sure it doesn't add them back) you need to either close and reopen all of the affected files (status bar items are specific to the tab they were added to) or quit and restart Sublime.