Earlier quoted context omitted.
UUIDs are the best choice when developer time is more important than space usage. Also, they can be generated and used by the client when the connection to the db is frequently down (eg: clients store/query data locally in SQLlite and replicate to master).
UUIDs are a great option for creating IDs offline, but I don't understand your first comment: How do UUIDs optimize for developer time? In my experience, autoincrementing integers are the easiest choice for primary keys.
When you're starting out and don't have (m)any simultaneous writes to your DB, autoincrements are often perfectly sequential and identically sorted as a created_at column... which is convenient, but too often I see systems implicitly relying on this and having subtle problems when they start growing. E.g. pagination that doesn't account for gaps, or a missing "order by" that leads to the 1, 3, 2 issue mentioned above. It's also not often caught with tests, since they're frequently not run in parallel or at high enough velocity, and that lack of warning, time-coincidence with when the buggy code was introduced, or easily-testable reproducibility can make them hard to track down and fix.
There are a bunch more fairly minor things that others have mentioned (e.g. UUIDs make it much harder to write joins incorrectly, as they'll just always be empty until you do it right), but generally I'd just call it "death by a thousand papercuts". Autoincrements are great and I love them, but generally I lean towards UUIDs since they're a bit more bug-resistant. And performance-wise, if you're having problems I generally doubt you'd be able to fix it by switching to autoincrements (assuming it was just flipping a switch). For a short time, possibly, but generally at that point you'll be beyond the "pick whatever is easiest" stage and can make an informed decision that'll have a far larger impact.
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tl;dr: I disagree with primary keys being "opaque identifiers" because they do have an affect on behavior in buggy code. Autoincrements mask more problems than UUIDs, and fixing even one of those costs more time than autoincrement saves.