Technically, it's a strength circuit (which it says in the article), not a complex. A complex would be all exercises using the exact same piece of equipment, like every exercise done with a 95-pound barbell, like the solid examples the guys gave.
Is there a reason other than "I don't wanna"? And it's not straight-forward heavy deadlifting three days a week. One day is trap bar deads, another is cluster reps (basically singles), and the third is relatively-lighter in the circuit.
i'll requote the answer you got straight from Thibaudeau when you asked this same question in his forum:
"if the exercises changes you made work the same structures in a similar pattern and allow you to work hard it will work."
So, if the article calls for deadlift, dip, power hang clean, and pull-up, ideally you'd want a hip hinge (dl variations), horizontal or vertical press (uh, some kind of press), explosive hip hinge (hang clean, hang snatch, hang high pull, swing), and upper body pull (row/pull-up variations).
The clean and jerk is a monster exercise to have in a circuit. That exercise alone would be a brutal "complex". I'd clean or jerk, and since you've already got dips, well, yeah.
Unilateral exercises tend to slow down a circuit too much.
Most bodyweight exercises won't be appropriate for strength circuits because you either can't load them enough or you'd need an advanced variation. Also, you'd want to stay away from higher reps and away from hitting failure in any of these circuits.
Again, I would say thrusters and push-ups don't belong in a strength circuit. And again, (lots of) unilateral exercises. Where'd the ab rollout come from?
So, yeah, overall I'd try to stay as close to Thib's guidelines as possible, which is what he told you when you asked him.