Media Library and Group Privacy Settings

I understand that the privacy settings for a group follow the group’s privacy settings. However, the media uploaded in a private group then shows up in the Wordpress Media Library, open for anyone (with access of Author or above) to view.

Is there a setting I’ve missed that keeps the private group’s media private site-wide, even in the Media Library? If it’s not possible by default, is there an addon to accomplish this?

If rtMedia cannot accomplish this, is there another similar plugin that offers this capability?

Any advice would be appreciated.