The bad news is what happens to the sidebars on smaller screens: They columns stack as Content > Primary Sidebar > Secondary Sidebar. Meaning that with Magazine Pro it’s useless to stick a context menu in the Secondary Sidebar.
But notice how this menu widget fully exposes all the menued pages on the entire website – suggesting that it might be useful in a footer. Optionally, you can include a “Page List” that ALSO lists published pages that are NOT in the menus.
There is prolly a way to include widgets in the Content area. Consider a restricted page that lists EVERYTHING “published” on the site.