I am trying to: Have my language switcher menu appear for all countries in the top bar
Link to a page where the issue can be seen: hidden link, hidden link, hidden link, hidden link, hidden link, hidden link, hidden link, hidden link, hidden link, hidden link
I expected to see: the language switcher menu on all countries
All these options are available on WPML -> Languages.
I'm not sure in which exact location you want to put the language switcher on, but if your top bar accepts either widgets or is the menu in fact, then you can follow these guidelines in order to put the menu switcher in the proper location.