Not sure why you posted in the Apple Card Mastercard community, that’s why I asked. There is a dedicated Apple Pay community. 😃
When you add a card to an electronic wallet (Apple Wallet, Google Wallet, Samsung Wallet etc.) your bank creates a new number for your card called a DPAN (Digital Primary Account Number). This allows the bank to know how you complete the transaction, Apple Pay, or swipe or chip.
So yes, it’s normal. Your physical card details are not stored on your iPhone. You can see the last 4 digits of the DPAN in your Wallet app on your iPhone.