Just to follow up for those who say SE does not send an email, there is hope. They are acknowledging the delays at least.
Dear Customer,
Thank you for shopping at the Square Enix Store.
We are pleased to inform you that your FINAL FANTASY XIV: Shadowbringers registration code has been added to your account!
Log into your Square Enix Store account and visit "Your Orders." Locate your Shadowbringers order and click on “UNLOCK THE ACTIVATION KEY” to obtain your registration code to redeem on the Mog Station. Instructions on redeeming can be found here.
We apologize for the delay and hope you enjoy your adventures in the First!
Thank you,
- Square Enix Store team