There exist ID systems that prevent you from protecting your privacy, but that doesn’t mean it’s a core feature.
So at the very least it seems like a core feature of World ID. For some other system, if it allows verifying users' humanness but not uniqueness or identity then I don't think I'd class it as an ID system. Maybe I'm failing to imagine all possibilities.
[0]: https://worldcoin.org/blog/engineering/humanness-in-the-age-...