Whereas this article says a deleted AD user only needs to be restored from the recycle bin for its Azure AD object to aslo be restored. For us, when an AD user object is undeleted, Azure AD Connect thinks it must provision (create anew) an Azure AD object, throwing the error, "InvalidHardMatch: Another cloud created object with the same source anchor already exists in Azure Active", when it finds the matching object in Azure AD in the recycle bin. I have also tried restoring the AAD object both before and after restoring the AD object.
When the AAD object is permanently deleted, the AD account will synchronize successfully.
With a new AAD object, I would rebuild their AAD account, then copy the contents of their original mailbox to the new mailbox. However, the user's original mailbox is permanently deleted by Exchange when their original ExchangeGuid is synced from AD.
What is the proper way to restore a deleted Azure AD Hybrid User account? If it should be as simple as restoring the AD object, could our Azure Connect be misconfigured?
1/22/2023: It is looking as though this may be a problem specific to our environment. If someone would please confirm that a deleted AD account only needs to be undeleted for Azure Connect to restore and sync the corresponding Azure AD object, I will close this question.