Wallet membership cards turn a membership into a pass that lives in Apple Wallet, so members carry proof of membership on the phone they already have. The pass ties back to the membership account, keeping it current without members digging through email for a confirmation.
This matters because it puts membership status right where checkout and benefit application happen. When a pass is tied to the account, automatic benefits apply the way they're supposed to, and members don't have to prove anything beyond what's already on their phone.