Well, yes, I can certainly see the connection to Pull-Push, but than again it's also like rotational in that the hand crosses to the other side of the wheel and that hands occasionally need to go one over the other.
In this style, you also try not to pull all the way down to the bottom of the wheel (as you would in Pull-Push), because the wrist motion tends to be awkward and you also go over the point where your hands fall immediately into quarter to three, but if you are trying to get 360 degrees of lock in one go, it's a worthy compromise, to me.
Still, I wouldn't call it "Pull-Push". I don't think I've ever heard a name placed on it, but it is predictive steering, essentially. It just doesn't sound so good in my native language. I guess I have to go about looking up what's it called in French.
I do think that it is "predictive" in the sense that you are trying to predict
exactly how much lock you need, preposition accordingly and hopefully "hit" it mid-corner with the hands back across the (horizontal) diameter of the wheel rather than across any sort of chord.
The fact that the prepositioning is of one hand instead of both does not diminish the predictive nature of this style. It's done simply to extend the range of motion to a degree impossible when prepositioning both hands. Within a more limited range of motion, I will use both hands, especially on tightening radius corners.
The greater range also helps make the prediction more flexible because if you are unsure of the amount of lock needed you ready yourself for a lot of lock, start to steer, finish steering and
then sort your hands back to place, which in this style is fairly convenient.
This style also allows to bring the wheel back to straight in the same fashion. You preposition the opposite hand and pull it back to straight. I see some people who preposition both hands going into a bend, but don't think of doing what I do coming out of it, so the way they remove the steering tends to be somewhat awkward.