"Yes, no ( foot) swivel on 1, but body turn present. right ?"
Depends on what you mean by 1.
If you are going by the book description, 1 would be the first step of the natural turn, and would have no foot swivel.
If you are counting 1 as the first step of the spin turn action, it's more complicated. The written description is of a partial pivoting action on that step (though not as complete of one as in the natural pivot turn), and a pivoting action is only semantically different from a swivel action.
But in actual practice, most serious dancers are not doing much of a pivot there at all. Instead, they are placing the foot with some toe in for the backwards partner, and using body rotation only. This is a much more powerful and dynamic way to do it, and really improves the progressive flow. It's even fairly common to dance consecutive pivots with something of this technique - actually spinning the ball of the weight bearing foot on the floor is a fairly precarious thing to do. Compare the precarious look of beginners who may take the written instruction over-literally, to that of more experienced dancers who move through the step, rather than trying to balance and spin on the ball of foot.
(Another camp of champion-quality dancers does a heel pivot instead of a ball pivot, or the more common body-turn-only)