Exactly. Notice how "I'm feeling lucky" is only on the home page and not part of the search experience when using Chrome or any modern browser where you search

Exactly. Notice how "I'm feeling lucky" is only on the home page and not part of the search experience when using Chrome or any modern browser where you search from the URL bar? Wonder if that is intention? Not a wonder at all. The "I'm feeling lucky" button would never be added to Google if it didn't already exist. It was grandfathered in.