Applied today. The online form actually hung at the step where it says to wait until it gives you a confirmation or what not. Due to my working schedule today, it wasn't until afternoon (several hours after submission) that I could call Amex to check what happened to the application.
After some searching and tracking down some names, turns out I was approved. The operator offered expedited card delivery (for free) - doubt it'll happen, but nice of him to try anyway.
The manner in which Amex will approve one for new cards still astonishes me a bit. I have held a Platinum Reserve for a long time now; maybe that was factored into the calculations, too.
I did tick "yes" to existing card holder. I think I did that when I applied for the Virgin Amex card as well, and I still got the bonus. Still working out how to hit $1500 ASAP, as I don't have any huge expenses to tick off right away, but I'd really like to test that I get the bonus (assuming it credits nearly instantly or the next day after reaching the target - again, this is what happened with the Virgin Amex) before I rope in the rest of my family to apply.