Here are my settings.
Autoresponder:
Alerts and Notices - New Ticket Alert:
New ticket options under Help Topics - Auto-Response is enabled.
Autoresponder Settings - Departments
No filters are in place that would block autoresponder.
I checked the Teams settings and none of them have have autoresponder disabled.
I did not see anywhere that the emails for New Tickets should not be sent.
I tested this from both an email generated ticket as well as one from the portal. Both did the same thing. The one agent account received the notification but none of the others did.
I looked and do not have new tickets set to auto assign on creation. They are set to "Unassigned" and are being manually assigned after.