Hi @ E J ,
Yes, based on my research, built-in notifications for outbound spam can be global admins or designated recipients. However, similar notifications cannot yet be sent to spammers.
For more information, please refer to this link: Outbound spam protection - Office 365 | Microsoft Learn
For users who need to send bulk mail, please refer to the recommended solutions in the official article: Recommendations for customers who want to send mass mailings through EOP - Office 365 | Microsoft Learn
If the answer is helpful, please click "Accept Answer" and kindly upvote it. If you have extra questions about this answer, please click "Comment". Note: Please follow the steps in our documentation to enable e-mail notifications if you want to receive the related email notification for this thread