Why does attachment replace craving?

In the book *The Meaning of Life from a Buddhist Perspective* links eight, nine, ten of dependent origination , *pratityasamutpada *, are mentioned as attachment, grasping, existence. I am accustomed to seeing eight, nine, ten, as craving (desire), clinging (attachment), becoming, respectively. What are the ramifications of the swap - if I might infer it that way? On a side note, along with the mentioning of the above, there is the mention of "multiple rounds of dependent-arising occurring simultaneously"