EDIT: I guess that doesn't really address your point of needing to join on a composite natural key though.
It ignores things like integrating with other systems. If I export my data to an OLAP database, I can't just cascade that key change through it without manual effort.
It also ignores managing historical data. Maybe I don't want that natural key update cascaded everywhere. In their example of hotel room number, if that public-facing number changed (which does happen), I wouldn't necessarily want that cascaded everywhere. For example, I might need past reservations/invoices from before the change to keep the old room number, to match all correspondence with the guest, etc. Okay, so maybe you don't automatically cascade everywhere, but then you need some way to link that old room number and the new room number in all of your reporting.
Bleh. That's a lot of headache that can be greatly minimized with a surrogate key, for very little drawback in my experience. Sure, I can imagine scenarios where the performance impact or additional storage could actually be a real negative, but for your average CRUD app, I think surrogate keys add way, way more value than cost.
That's why ideally natural keys should be immutable. That has many advantages over surrogate keys.
There's a follow up post (posts) to this presentation: http://www.databasesoup.com/2015/03/primary-keyvil-reprised.... where many problems caused by the abuse of surrogate keys are illustrated.
But the main point is simple: surrogate keys (abuse) is an easy way to data corruption. Not in the sense of durability as in ACID, but in the sense of humans (manually or by bugs in the software) duplicating information that is not enforced to be unique thanks to using non-sense surrogate keys as the uniqueness criteria.
Your point about immutable keys is important, I think. A "natural key" can mean different things, as I understand the term. You could call a person's social security number a natural key, which for the record is a bad idea as they can change . But you could also call the combination of user_id and reservation_id a composite natural key, which is immutable and not so bad in my book. I'd still use a surrogate key though.
It might seem like I care about this more than I actually do. I've just found over the years of writing systems that I fairly often regretted not having a surrogate key on a table, but I've never once regretted adding a surrogate key that ended up not being essential.
What I've seen happen is that the data model expands/changes and I need to reference a join table. I might just start out referencing it by the composite natural key. Then the model changes again, and now I need to add another piece of data that changes the natural key. For example, maybe the natural key was (user_id, reservation_id), but now it's (user_id, reservation_id, membership_type_id). Now I need to think about anywhere I referenced that join table by the natural key.