When an email is unsubscribed from an email campaign(s) or from ALL email campaigns, the owner of the email should still receive user initiated or solicited emails such as donor confirmation email, participant confirmation email, new donation notification email, password reset email, etc.

What if the email is on the Blacklist? Blacklist is for bulkmail, but we don't blacklist email addresses for no reason so it is highly possible that the owner of the email will not receive any type of email from Blackbaud.