It's kind of nice that I can put my Safeway and Soopercard in there now, but that still means having to scan the barcode, and frankly it's less cumbersome to just hand my physical card to the cashier. The only store that seems to have figured out how to automatically add their card to NFC payments is Maverik gas stations.
Walgreens let’s you add your loyalty card and use both it and payment from Wallet.
> my physical card
Sure, if you carry the physical card. But that's exactly what I get from having it on the phone -- I don't want an inch-thick wallet from times of old, I want to carry as little as possible. I have a tiny magsafe wallet with ID, one physical credit card, and an airtag card. Everything else lives on the phone.