I've never heard that translation, how does that justify them noticing they're naked as a bad thing? The idea there is simple with the fruit granting the knowledge, but doesn't make sense with a fruit that allows you to define good and evil. But even then there's another thing you got wrong, they're not kicked out of paradise for eating from the tree, they get punished for that but the reason why they're kicked out is so that they don't eat from the immortality tree:
22 And the Lord God said, "The man has now become like one of us, knowing good and evil. He must not be allowed to reach out his hand and take also from the tree of life and eat, and live forever".