Hello Angelbeat Ron Gerber,
Good day! Thank you for posting to Microsoft Community.
I understand that you are experiencing issues with the email alerts for the Anti-spam Outbound Policy. I reference to this doc (Configure outbound spam policies | Microsoft Learn), it looks like this setting is in the process of being deprecated from outbound spam policies and it is recommended to use the alert policy rather than this setting in the outbound spam policy to notify admins and other users. For instructions, see Verify the alert settings for restricted users.
If this is already set and you're still not getting the alerts, I'd recommend raising a support request to the online technical support team to report this symptom through the O365 admin center. A support agent can further connect with you remotely, for further troubleshooting and involve the backend team if needed.
Get support for Microsoft 365 for business -- Online support.
Your patience and cooperation are much appreciated.
Best Regards,
Ashraf.