"Oh you want the URL of your LinkedIn Profile? Don't use the URL in the address bar, silly! Use this other URL we are providing randomly down the page."
I was referring to the URL-scheme of the LinkedIn app in general, not just the profile page - I somehow missed that this subthread was only about the profile page. Yes, I agree they dropped the ball completely on that. Especially tragic as they could fix the 80% case with a front-end one-liner (window.history.replaceState).
E.g.:www.linkedin.com/in/barackobama