Are you talking about cash back? If so Amex does offer cards that support cash backs (I've had one for quite a few years). If you are talking about savings accounts, Amex also offers a High Yield Savings account whose rates are very competitive with other banks in the US.
Amex does have products that cover both these use-cases independently, so I'm assuming if Apple-Card indeed moves over to Amex these features won't go away and would instead be fulfilled via Amex savings account + Amex's existing cash back support.