There is also the question of leaking whether a given user has an account on a website or not. Maybe I don't want my employer to know that I have an account on competitor-service.com, or my partner to know that I have an account on kinky-thing.website. It might not be a security issue, but it could be a privacy issue.
Even worse with phone numbers.
If you want to confirm a user is the same as another user on a different site, and you know their phone number, often part of the recovery process will reveal part of the phone (a text has been sent to *-*-*33, eg).