All the specific URE capabilities are currently disabled for this custom role (for example ure_admin_menu_access, ure_edit_roles, etc. are not granted).
However, the role does have the core manage_options capability, because I need the user to be able to access certain plugin menus that rely on manage_options to be visible. That is exactly why I’m trying to use URE’s Admin Menu feature: I want to keep manage_options so those plugin menus show up, but hide other menus such as Settings (and a few other admin pages) from this role.