Я использовал приведенный ниже код для решения своей проблемы.
function get_l1_menu_label( $page_id, $menu = 'primary-menu' ) {
//get menu
$all_menus = new WP_Query( [
'post_type' => [ 'nav_menu_item' ],
'meta_key' => '_menu_item_object_id',
'meta_value' => $page_id, // page id here
'tax_query' => [
[
'taxonomy' => 'nav_menu',
'field' => 'slug',
'terms' => $menu, //menu slug here
]
],
'fields' => 'ids'
] );
$current_page_menu_id = $all_menus->posts[0];
if ( !$current_page_menu_id ) {
//looks like the page is not menu
return '';
}
$parent_menu_id = (int) get_parent_menu_label_recursion($current_page_menu_id);
//get the custom nav title set in menu admin
$title = get_the_title( $parent_menu_id );
if ( $title !== '' ) {
return $title;
} else {
//the page orginal title is the label
$parent_menu_page_id = get_post_meta( $parent_menu_id, '_menu_item_object_id', true );
return get_the_title( $parent_menu_page_id );
}
}
//recursive function to fetch a top most parent id in nav menu
function get_parent_menu_label_recursion($menu_id) {
$parent_menu_id = (int) get_post_meta( $menu_id, '_menu_item_menu_item_parent', true );
if ( $parent_menu_id !== 0 ) {
//the parent exist - send the parent menu
return get_parent_menu_label_recursion($parent_menu_id);
} else {
//the menu sent to this function is the top most menu
return $menu_id;
}
}
Надеюсь, это кому-то поможет.