You’ll notice that in each of the above screenshots there’s a Recipient Context switcher. The Registration Approved template screenshot was a view of the “Registrant” context. The Not Approved Registration template screenshot was a view of the “Primary Registrant” context. What’s set in the To: field of each context is where the email will be delivered.
You can switch to the admin context by using the context switcher, and check the To: fields of each template’s admin context to make sure the admin emails are being sent to the appropriate email address.