Data Point:

6-7-13
This was first CC application in a 6 card AOR. Instant credit approval subject to identity verification. Called to see how I could move along verifying my identity. Was told it was an internal process, and I would be contacted if they had questions.

6-12-13
Automated line finally said I was approved. Card to arrive in 10 business days.

Edit: Had previously done 4 card AOR in January '13. (5 if you count the Citi 2 browser trick as 2). Ink in Nov '12, CSP & UA Club in April '12.