The point is not that UUIDs are magically secure, it's that they mean nothing to whoever gains access except a single job app. The assumption is that they will get out (they're in a public URL), and that they will have no meaning when they do.
It's a defense-in-depth thing IMO -- cargo-culting this approach defends you even when you don't do the other things right. It's simple -- with a non-zero probability that the actual access control is faulty, do you want a default that protects you or doesn't. What's the intentional trade we're going for? More DB perf? Easier to type URLs? There are other ways to deal with those
> Can you tell I've been scarred by discussing designs with folks who focus on the "visible" problems without thinking about the fundamental question of "is this secure"?
Yes :(