I got an email with the title "Welcome to Reward Zone Gamers Club Unlocked". I'm not sure the exact date I re-upped, but I think the email came within 2 days (I am a member through 11/16/2013, and the email came 11/18/2012). It will be an email regardless of your subscription type, physical or digital.
Hrm. I re-upped on 3/15 and haven't gotten the e-mail. What's the longest anyone's gone before it arrived? I guess a customer service contact is in order.