Favicon indication inside a pinned tabs

I believe that in the current implementation, it is not visually obvious to the user that, instead of the originally pinned site, a completely different website is now opened in the pane. This may confuse or mislead the user.

Expected
I propose improving how such tabs are displayed, partially borrowing logic from Zen Browser. Suggested behavior:

• If navigation inside a pinned tab happens within the same original domain
  (e.g., able.ac → able.ac/contacts)
  then the tab should continue displaying the original site's favicon, followed by a slash, and then the title of the currently active page.

• If navigation inside a pinned tab goes outside the original domain
  (e.g., able.ac → x.com/meet_able)
  then the tab should display the original site's favicon, followed by a slash, and then the favicon and name of the currently active external page.