To illustrate this for you, let me turn it around a bit. Is it security by obscurity if the only thing stopping someone from logging into your account is knowing your password?
Security by obscurity is when you (for example) roll your own cryptosystem and rely (in whole or part) on the secrecy of your new-fangled algorithm to save you. That is unsafe. But if you're saying high-entropy strings shouldn't be the only barrier to authentication, you're throwing out half a century of complexity theoretic cryptography.
If I can see in this HTML page that your reply is /reply?id=12345, then it doesn't matter if Hacker News uses integers or UUIDs, if there's a bug in /edit?id=12345 that just lets me edit it without the appropriate security. If we say that UUIDs always make everything inherently more secure, we're doing everyone a disservice.
Now, the original discussion was about (1) discovering for read, and not about (2) escalating a read to a write. But if anyone reading this mistakenly takes from it that UUIDs are the way to solve these problems then they will go on optimizing for (1) at the expense of (2).
I can see your point. If UUIDs are handled in such a way that they are discoverable by anyone, they are not enough to make the references secure.
I think the point tptacek and others are making is that this is an instance of the defence in depths principle, though. In scenarios where UUIDs are not simply discoverable, using UUIDs is inherently more secure than using a monotonic ID, simply because the monotonic ID can be easily guessed. Yet, they are still not enough in isolation and you should be additionally using proper access control (due to eventual leakage of particular UUIDs in emails and such).
That's been bouncing around at least since the time I noticed it on /. Which was a couple of decades ago.