This has come up in another thread, but there are a few different meanings of the word "pull" in strength training. One is synonymous with "hinge" and is used to describe the deadlift, clean, and snatch. This use of the word also describes the kettlebell quick lifts. When the swing is referred to a pull, it is meant in this way.
Another use of the word designates those movements as "hinge", and reserves the word "pull" to upper body movements like pull ups and rows. Dan John likes to hit at least each of the movements, even if just as a warmup, every day. This means you can do some batwings for a few sets of 20 seconds (basically an isometric hold at the top of a row) but you don't need to necessarily program intense training for it if its not the focus of your program. That would still fall into Dan John's idea of "balancing" those fundamental patterns. And of course, for the minimalist (like our very own Steve Freides and many other SF practitioners), even that level of subdivision isn't strictly necessary. As others have pointed out, overhead pressing involves muscles of the upper back, as do the one armed quick lifts to a degree, either isometrically (deadlift, swings), or even dynamically like in a kettlebell high pull or snatch.