Teaching Style B (this is SP’s approach so far): introduce some steps, and from the very first lesson, simultaneously include technical details like amount of body turn, how far to turn head, where eyes should be looking, CBM of upper & lower body, sway, partner connection, hand and wrist and elbow position, angle of torso on forward steps vs side steps, whether every step is T v H v TH v HT, backwards extension of legs, don’t “break” neck or collapse side.....
He's trying to teach you the minimum amount of technique needed to dance in proper constant body contact without carrying you around the dance floor.
Amount of body turn: Standard has relatively rigorous rules on amounts of turn on each figure; if you don't get the right amount of turn, you'll end up going off the line of dance and running into people or into the wall. If your body doesn't get the right amount of turn, and your pro does, it will break up the body relationship and you won't have proper body contact.
How far to turn the head: too much or too little head turn affects the shoulder positioning and the frame, and thus body contact.
CBM of upper & lower body: the feet need to be in a particular orientation to support moving in the correct direction. The upper body needs to be facing in a different direction to maintain proper body contact with your partner. The lower body may need to face in a third direction to prepare for the direction of the next step, or to distribute the total difference between the upper body and the feet in a way that won't hurt your body. CBM and side lead are fundamentally ways to describe the difference in the amount of turn between the feet and the body.
Sway: in some figures, like 123 of the natural turn in waltz, sway is needed to avoid falling off your feet in places. In my opinion it doesn't need to be taught at this point if the footwork is learned properly - it will just happen - but I can see how it might be mentioned since it's related to all the other things being discussed.
Partner connection: and contact are the point of much of this stuff.
Hand and wrist and elbow position: critical to prevent the lady from leaning on the gentleman's right arm.
Angle of torso on forward steps versus side steps: this is important for the same reasons amount of body turn and CBM are important; they are really all about the same thing.
Whether every step is T v H v TH v HT: absolutely critical to taking the step properly, getting the proper rise and fall, and closing or positioning the feet properly, all of which are needed to maintain proper body positioning and contact with your partner.
Backwards extension of legs: this is needed to keep your legs out of your partner's way when dancing with body contact.
Don’t “break” neck or collapse side: collapsing the left side will put painful weight into the gentleman's right arm. Collapsing the right side will put your hips and legs out of position, making it difficult to go in the right direction. A break in the neck position is a sign of mispositioning the body.
Rise and fall: wait, he didn't mention rise and fall?
Many of these are different aspects of the same things. Your job is to get the whole of the figure right so these things fall into place. Thinking of them as separate things is probably not the best way to learn them.
The other way to get to body contact - start out of body contact, probably similar to what you are doing in Smooth, then gradually move in to body contact as your feet strengthen and your technique improves - isn't taught or, I suspect, even known on the Continent, so Eastern European teachers won't teach that way.
Edit: subsequent posts remind me that there's a third way to learn body contact: start out by forcing body contact, then fix the distortions and introduce technique so it gradually becomes proper body contact rather than forced body contact. However, this only really works when teaching body contact to both partners at the same time; if one person already knows body contact, as with your instructor, they're not going to want or necessarily be able to distort their body positioning to dance in body contact with someone who doesn't know how yet, so this method doesn't work well for pro-am.
If you wanted, you could ask him to break these up and not plan to dance with you for a few lessons. In this case, he might spend a lesson on posture and hold, then a lesson on getting the figure and footwork while keeping the proper posture and hold, then a lesson on getting the proper anount of rise and fall and sway, then a lesson on fixing any issues with body positioning, including CBM, side lead, etc. At that point you might be ready to dance the figure together. That might work better for you, but it might not.
On the plus side, his teaching is very much in the direction of getting you to do things correctly from the start so you won't practice bad habits. Once you get this stuff, adding most figures will be easy.