Yes it does...wait...at least I think it does. It definitely bypasses the Unsubscribe and suspended, so be careful with your smart list.
https://community.marketo.com/MarketoTutorial?id=kA250000000Kz32CAC
Yes, it appears to do so. At least that's what I recall.
https://community.marketo.com/MarketoArticle?id=kA050000000LK6KCAW
No, there isn't another way unless you completely remove the Admin > Email text, which would do that for all emails.