I didn't miss the story. I read it, in fact. It only mentioned Apple in passing as one of the members of the trade group in question, but because Apple makes for news, their name was plastered in the headline and summary on Slashdot. Meanwhile, the AC who responded to you pointed out that Apple took alternative practical steps to protect their user's privacy years ago, given that DNT was never an effective method to begin with.
Anyway, I too would likely trust UK banks over Apple...when they're willing to speak publicly, on-the-record, in clear language, as Apple did when it made its claims regarding how Apple Pay operates. But when negotiations are ongoing, any sort of off-the-record statements from unnamed sources claiming to represent one of the sides involved should always be assumed to be an attempt on their part to gain the upper hand. Given that that's what we're dealing with here—an unnamed source representing one of the sides, making unsupported claims while negotiations are ongoing—we shouldn't read anything into it, beyond that Apple is probably playing hardball and the banks feel a need to push back.
As for whether or not Apple is tracking users, they absolutely are. No doubt. They even admit as much in their terms of use/service for various things, such as iAd. But as the AC pointed out, Google and other companies are in a whole other league when it comes to tracking users (including illegal practices that resulted in fines from the FCC, such as the incident the AC referenced). Apple definitely tracks users, but in much more clearly defined ways (e.g. they publish white papers over exactly what data they collect, how they collect it, why they collect it, how they protect it, how they organize it, and for how long they keep it) that are much more limited in scope than their competitors.
Let's not lump them in with Big Data just yet.