In general, assigning an outline to a specific menu item (or page, category, etc.) should make tie that outline to the assigned pages on the front end without issue. However, some third-party plugins (WordPress) and/or system plugins (Joomla) can interfere with these assignments.
So, if you have assigned an outline to a specific area of your site, and aren't seeing this reflected on the front end, a great place to start troubleshooting is to make sure you aren't running a third-party plugin that could be interfering with how Joomla (and ultimately Gantry) handle page assignments.
Some common Joomla system plugins we've seen this issue with are:
System - JCK Modal
Hikashop - Geo Location
Delete My Account
System - obSocialSubmit
System - Nooku Framework
System - JoomlaTools Framework (only the version found in Ohanah component)
System - Jarvis Framework - plg_system_jarvis
If you believe this might be the problem, disable the plugin and refresh your desired page.