I believe those are the exclusions applicable to the loss/damage waiver (LDW) coverage that is an inherent benefit of the card. In other words, you don't have to sign up for any special program to get the LDW coverage when you use the card to rent a vehicle. In addition to the inherent LDW coverage that comes with your card, AMEX offers an optional program they call Premium Car Rental Protection that you can sign up for, which provides primary theft and damage insurance coverage each time you use the card to rent a vehicle. Signing up for the Premium Car Rental Protection program is free, and AMEX automatically charges your card an extra $19.95 or $24.95 per rental period when you charge the rental fee with the rental agency: https://www295.americanexpress.com/premium/car-rental-insurance-coverage/home.do.
It sounds like you indeed signed up for the Premium Car Rental Protection program. So you need to look at the Terms & Conditions for that program, not for the inherent LDW coverage that your card would have given you even if you hadn't signed up for Premium Car Rental Protection.
This is my opinion also. I've researched this topic repeatedly and exhaustively, including discussions with Amex, my longtime insurance agent, and several rental companies on Bonaire.
If you want credit card damage coverage for Bonaire dive truck rentals you need to meet the following criteria:
1) Have an Amex card that qualifies for their Premium Car Rental Protection program. (Visa and MC cards don't cover pickups on Bonaire or offer incremental buy-up insurance.)
2) Opt in to the Amex PCRP program, which will automatically bill you for coverage when you rent a vehicle using that Amex card.
3) Rent from a company that accepts Amex and permits you to waive the rental company's CDW policy. There is at least one company (Budget maybe?) that accepts Amex but still mandates that you purchase their CDW coverage to simplify claims etc.
4) Be willing to pay the rental company directly for any damages and seek reimbursement from Amex PCRP later. You will not be able to just tell the rental company to settle up with Amex (or anyone else.) This is why so many rental companies mandate you purchase their CDW... Because there's no hassle on their end for settling claims.