get menu link Page Settings from View configuration
The menu tree is built from two sources, menu link content and menu config. For views you find the menu configuration in each view. There are several ways to access this information. You can use the config api to read the values in php, export the view to a yml file and inspect it or use drush.

For example to show the view for block content with drush:

drush cedit views.view.block_content


This contains this configuration for the page:

 page_1:
    display_plugin: page
    id: page_1
    display_title: Page
    position: 1
    display_options:
      display_extenders: {  }
      path: admin/structure/block/block-content
      menu:
        type: tab
        title: 'Custom block library'
        description: ''
        parent: block.admin_display
        weight: 0
        context: '0'
        menu_name: admin
    cache_metadata:
      max-age: 0
      contexts:
        - 'languages:language_content'
        - 'languages:language_interface'
        - url
        - url.query_args
        - user.permissions
      tags: {  }


After inspection the structure of this array you can use the configuration api to access it in php:

Simple Configuration API