Staging does not publish to a Local Live site. Instead an error will appear on the command line.
Steps to reproduce:
1. Create a new site (Control Panel> Sites).
2. Activate local staging for the site.
3. Add a page to the site "Page One".
4. Navigate to the staged/backstage site.
5. Schedule publish to live (flag all check boxes under Options tab, set Range as "All", set start date for a couple minutes past the current time)
Current outcome: command line will show an error and content will not be published to the live site.