This card is a no brainer if you fly AA even just a couple of times a year. The lounge access is essential. If you fly DL and AA for instance, get an Amex Plat and the AA Exec and enjoy your travels that much more.
And as you noted, AA Hotels can often have amazing value. If you book a hotel for $1000 you'd get 10k miles with the card (plus 1k LPs). Plus if you have any status with American you'll get an elevated additional mileage offer with AA Hotels. It's not unusual to be able to get 10-15k extra base points through AA Hotels bookings. Yes you need to price shop the AA Hotel rate versus direct versus other portals, but if you can get 10k miles / 1k LPs with the card and then another 15k miles and LPs with the card, you'd get a total of 25,000 miles and 16,000 LPs on one booking. If you earned 60k LPs and are in the 25% LP bonus? 19,750 LPs. For one stay.
If you value AA miles at 1.5cpp (and I can routinely get that value from AA miles), that's $375 of value. With the (admittedly not overly generous) coupons, card basically pays for itself.