Apple Pay does something called tokenization, and the goal is more fraud protection than privacy. It generates one new number at card enrollment and uses that exclusively. By using a unique account number which can only be issued by Apple Pay devices, it means it doesn't matter if someone hacks the merchant and steals your number. They can't use it without the associated Apple Pay generated cryptogram, secured by your PIN / fingerprint.
Honestly the enhanced security of Apple Pay is underhyped. It's really great.
Maybe it is magical in the American sense, but i can't say i get the big whoop from the European side of the Atlantic...
Admittedly being out of battery is a hard problem, but I chose my phone partly because it has decent battery life.
I love contactless payment, and this occasional complication doesn't cause enough trouble, but it's still really annoying because I'd expect exactly what you describe to be the case.
Two, if "faffing about" is your concern (thank you for that expression by the way, i'm going to start using it), pulling out a card is not really much different from pulling out a phone. But the Apple Watch supports Apple Pay, and that way you don't have to pull out anything. It's really convenient.
If you're wondering how it works securely with the watch, it's pretty smart. You unlock the watch with a PIN when you put it on. It senses when you've removed it from your wrist, so it just stays unlocked until that point. Therefore all Apple Pay purchases are PIN authorized without having to prompt you for it or a fingerprint. All you have to do is wave your wrist by the terminal and confirm.
Recently too I've noticed that Amazon is putting ads in my Instagram feed for specifically things that I've looked at on Amazon within the last day or two. I'll literally click a link to a book or do a search, and then four hours later it'll show up in an ad in the app.
Aside from being kind of pointless (I already know about these items, why are you showing them to me later that day?), it's also all kinds of creepy and unsettling to see Amazon advertising six things I've seen recently, and not even on the same device I was viewing them on.
It would be really cool if it generated new numbers each time and had an amount coded to that number. So when I wave my Apple Pay device over the reader it would display the amount on the device, I would approve, and then a number would be handed back that's only good for that amount.
So, not only can a single merchant track you, but all merchants can cross-reference the data they have about you and track your whereabouts, purchasing habits etc. They just don't know who you are anymore, because that information is not transmitted. Unless one merchant asks for your email or home address, and this merchant then adds that email to a shared database, at which point we're back to step 1 and the merchants know everything about you.
But would you rather see ads for something you might be interested in (however tangentially) or something completely random? Personally I prefer the former, as long as there is some basic sanity filtering involved.