Canes within a design can, and do, differ. It is the overall design / pattern that counts, not the colour or type of the millefiori canes.
For the PP67, the text in The Complete Guide to Perthshire Paperweights (1997) states: "Medium concentric millefiori weight with a central colored picture cane of a horse's head and four other silhouette or colored picture canes on a translucent ground. ...". The description does not even specify the number of rows of millefiori canes nor their relative size. However, your example is identical to the book example in number of rows and relative size of canes.
Not sure what you are meaning by "the layout" being different.
Which book comments on "all different designs" in the pin dishes? I guess it simply means that pin dishes could be found with any of the PP Design configurations.