Amex is really good about integrating physical card and Apple Pay transactions in the list of transactions in Wallet, and Apple Pay in general feeling complete. My only complaint is their lack of contactless EMV support, which breaks compatibility with some places (Starbucks is one, for example).
My BofA card shows the Apple Pay transactions that happen on that device (with a little BofA icon that's different from the app when it happens), but otherwise is completely oblivious to what happens with the physical card and other devices. They also don't use the message feature like Amex does to tell you when your statement is ready in the wallet app (or Discover uses to advertise using your cash back on a recent purchase).
Most cards are like BofA, rather than Amex, just because some issuers seem content with it working, but not taking advantage of all the features, or view that each device should have its own independent log. Some are better than others, but I do like having transactions show up in Wallet's list, regardless of how I made them.
My only gripe is now with Amex's rebranding with the stacked logo for the app icon, the Apple Pay icon that's pushed from the bank is now two versions behind (darker blue). They ought to update that.
