Password Hint would be set a Credential Enrollment and perhaps at Password Changes
Adobe stored Password Hints in their database as was disclosed back in 2013. Just to illustrate the terribleness of these hints, here are a few of them here:
Password Hint is now considered a Password Anti-Pattern
National Institute of Standards and Technology (NIST) thinks Password Hints are a bad idea:
Verifiers SHALL NOT permit the subscriber to store a "hint" that is accessible to an unauthenticated claimant.