It wouldn't be, unless you were sharing an unsalted hash database across organizations, where it was aggregated with other ones, then that hash is a unique identifier. Uniqueness becomes an issue in things like de-identification, which is a legal concept, and pseudonymization, which is basically tokenization, but not an information theoretic one like say, k-anonymity, or a cryptographic one like entropy.

If these distinctions are new to people on this thread, I recommend https://www.oreilly.com/library/view/building-an-anonymizati... for some background.