And I have to say I'm not impressed at all.
So I have a PRG I opened in February of this year. I've been using it reguarly, charging anwhere from $350 to $2,000 on the card every month. I pay my balance due on the due date, and of course, always in full. I schedule the payments online as soon as the statement cuts, becuase I am VERY forgetful of these things, and don't want to get myself in trouble with my new friend, Amex.
So tonight I'm trying to book my labor day vacation flight on Southwest.com, and for the first time ever, my PRG is declined. I immediately got an email, and a notifaction from the Amex app on my phone with a number to call, which I did. After 15 minutes of hold music (one song I recognized as an instrumental of "Sway" from the movie, American Pie, but I digress...) I finally get to speak with someone.
The CSR tells me the charge was declined because it would bring my statement balance, plus current balance to $2,800, which they were not comfortable with. He asked me to make a payment then and there. I said "No, you'll get your payment on August 6th, when it's due." The customer service rep said, "Oh, I didn't see that scheduled payment. I think we can go ahead and approve this charge, since you've already setup payment arrangements. Go ahead and use your card for the purchase, just give us 15 minutes to make some changes." I told him, "Great. FYI, if the card does not work a second time, I will not be calling back a second time. I'll use another card."
So I wait half an hour, then try my purchase again. Still declined. This time, no app notification, no email. Pretty sure they've shut off my charging privileges. I'm not going to bother to find out, and ended up using my Blispay for the $575 charge (I know, my spending is #OutOfControl 
) 2% cashback and 6 months of 0% APR beats 3x Memberpeso Rewards points in my book any day.
I've previouslt ran the card up to about $2,200 in one statement cycle, and added another $1,100 on top of that, so I'm not sure what their problem is. This is after being previously approved for up to $5,000 of spend on the card as recently as a few days ago - I remember because I checked to make sure the card would cover my flights, hotel, rental car, and food. Guess the amount truly does change on a daily basis.
This, coupled with the paltry limits on my revolvers is leaving a bad taste in my mouth. Seriously considering cancelling the PRG after the 1st of the year, and defintiely cancelling the $500 EveryDay they've saddled me with. 
I'm not sure why they have the tight spending caps either. Years and years ago when I got my first charge card I didn't have any problems with large purchases right off the bat even though my total revolving lines with all lenders were probably only about $10-12k total, and I know you're well beyond that.
As for the customer service, I always had great experiences in the past but I have read a lot of reports that the "lower-tier" (and I don't mean that in an insulting manner, just Amex's perception) card service has declined. I have been fortunate that when I've called in more recent times I got the top notch support in the Florida Platinum/Centurion call center.
As for the customer service, I always had great experiences in the past but I have read a lot of reports that the "lower-tier" (and I don't mean that in an insulting manner, just Amex's perception) card service has declined. I have been fortunate that when I've called in more recent times I got the top notch support in the Florida Platinum/Centurion call center.
@DeeBee78 wrote:I've previouslt ran the card up to about $2,200 in one statement cycle, and added another $1,100 on top of that, so I'm not sure what their problem is. This is after being previously approved for up to $5,000 of spend on the card as recently as a few days ago - I remember because I checked to make sure the card would cover my flights, hotel, rental car, and food. Guess the amount truly does change on a daily basis.
This, coupled with the paltry limits on my revolvers is leaving a bad taste in my mouth. Seriously considering cancelling the PRG after the 1st of the year, and defintiely cancelling the $500 EveryDay they've saddled me with.
I guess OP has multiple Amex revolvers, so the $500 CL ED isn't the only revolver, and maybe not as much of a warning sign as I first thought. I'll wait to hear what the CLs are on the others.
Also, I think the "Check Spending Power" button only works one charge at a time. Amex might have been willing to approve one large transaction (and that would be it until OP made a payment) but unwilling to approve all of a series of smaller transactions without a payment.