This members-only tutorial for Oxygen provides the steps to register a custom condition using which menus can be shown conditionally on Pages based on "Menu Category" taxonomy selected in the Page edit screens.
This condition is meant to be used for the Template that applies to all static Pages or when editing individual Pages in Oxygen editor.
The selected menu from the list of dynamically generated WP menus will be checked against the menu category set for that Page.
Add several Menu components for the various Pages (Ex.: "About Menu" for all about Pages, "Services Menu" for all service pages) and this condition will enable you to load the corresponding menu.