Email to Message Inbox?

Interestingly, this works:

  1. Create a new group admins_messaging in Discourse
  2. When incoming emails are enabled, this groups can be directly emailed on rather convoluted but still functional email address ourdomain+admins_messaging@discoursemail.com

However, trying to trick the system by sending the email to the existing admin group to this email address does not work:
ourdomain+admins@discoursemail.com

Is there a way to send emails from the outside to admins or moderators groups?
If not is there a way to re-direct/forward received messages from created admin_messaging group to admins group?