I ordered two phones asap after 8 am - the 256 GB Silver iPhone 11 Pro and the 256 GB Black iPhone 11. I placed the order for the Pro first and got the 9/27-10/1 date. I placed the order for the regular 11 just after that and got a 9/20 date. First time I can remember that I wasn't able to secure a launch date ship date for one of my orders when placing it as soon as the online ordering opened.
At any rate, I'm not expected the 9/27-10/1 to move up to 9/20. I will be surprised if it doesn't end up arriving before 9/27, but 9/20 seems unlikely to me.