Earlier quoted context omitted.
Ordering is not the only concern here. std::set actually provides a logarithmic worst-case guarantee, whereas std::unordered_set does not. This is a factor to consider depending on the application, regardless of whether ordering is necessary. Whichever one prefers in any case, though, is beside my point—I'm merely trying to use trees and hashtables to illustrate a far more general CS phenomenon that can occur in lots…
Imho "but technically..." is not a valid opinion while in practice the access is O(1) on average. Yea sure, it becomes linear if your hash is "return 42;", it can't grantee that you supplied a good hasher.
I could go on, but it's very much detracting from the point of the paper to argue about the data structure choice when the paper isn't on this topic at all or trying to analyze any particular application to begin with.