I just had a long talk with Recon, and I learned a few things (yes, I know DROPR...):
1 - The "executive team" does actually exist, and they are in Utah, and it is actually possible to talk with them!
According to the "executive" I spoke with:
2 - The old Amex policy of a maximum of 4 credit (not charge) cards has been changed to 5 cards. The reason it was changed is that many customers needed more than 4 (personal, business, etc.). [She was able to cancel an old card and approve a new one on the spot.]
3 - Multiple apps in a short time period (I forget the exact time frame) have a standard mandatory 5 day waiting period.
4 - They do not approve more than 2 credit (not charge) cards within 90 days.
I believe that my own experience belies some of these assertions, but I thought it worthwhile to post this info as data points.