"U.S.Consumer Basic and Additional Platinum Card® Members may receive up to a total of $200 in statement credits each calendar year, across all Cards on the Account, when using their eligible Platinum Card on eligible, prepaid Fine Hotels + Resorts® and The Hotel Collection bookings made through American Express Travel (meaning through amextravel.com, the Amex® App, or by calling the phone number on the back of your eligible Platinum Card)."

To me it sounds like "additional platinum cards" are diff versions of consumer platinum and "across all cards" under the platinum.