You might have additional needs to address specific imbalances or mobility issues, and I'd do a standing press instead of bench, but deadlift/squat/pull-up/press is a great basis for a minimal strength training breakfast. It's a fine approach. If you follow that program well, with good form, using near-maximal weights, and get good food and sleep, you'll get much stronger. If need be, you'll add or change exercises in a few months.
It's also important to keep in mind the caveats he puts on this recommendation:
It’s true that you cannot do the same workout forever; you’ll go stale, and then you’ll go crazy, and then you’ll quit. It’s also true that the stronger you get, and the closer to your genetic potential, the more you have to mix in new lifts and switch up the numbers of sets and reps you’re doing, just to make a little gain each week, or even each month.
...[C]oaches like Shaul throw in the Olympic “quick lifts” — the snatch, the clean-and-jerk.... When you’re ready to add muscular endurance, it’s all about body weight: push-ups, pull-ups, chins, dips, and sit-ups.
This simple formula is 90 percent of what you need to know
NB: 90%. Not 100%. But for the vast majority of generally fit people looking to get stronger, yes, "squat/deadlift/press/pull-up heavy 3 days a week" is the shape of the best approach.
Sidebar: I also like the minimal program of clean+press/clean+front squat/deadlift (done as one set, being forced to switch to the next exercise as one adds weight), plus pull-ups. It adds an exercise, power cleans, which help develop strength into power for the purposes of athleticism.