No. The person on the inside of the turn generally makes it all between steps 1-2, wheras the person on the outside of the turn complete it more slowly as they pass by their partner. Notice that the man then has an additional 1/8 turn on the next step - excluding things like promandes, the total amount of turn of the entire figure is of course going to be similar, but it won't occur in the same places for both partners.

Remember, the book is talking about turn of the feet, with only some clues like "CBM" to indicate turn of the body. It's the bodies that are constrained to be nearly parallel in closed position, while the feet have a fair degree of freedom to temporarily point in a different direction than your partner's.