It looks similar to your diagram for a Motivate from an unusual position in that there is a facing center star - usually when I've come up against it, the caller says only turn the center star a quarter. But when they are questioned about what would happen with a half turn (and from my experience - nothing good :-) ) you end up in the offset that you show.
Although Motivate is almost always done from Parallel Waves, it can also start from Two-Faced Lines, and the T-Bone formation shown in our definitions. In addition, some callers believe Motivate can be done from the formation obtained from Parallel Waves after the Centers Counter Rotate 1/4.
When Motivate is done from Two-Faced Lines, turning the star 1/4 or 3/4 is more convenient for the caller since the ending formation results in parallel two-faced lines. There is nothing wrong with turning the star 1/2 (it's common usage at Challenge): some dancers just finish on the same spot and step to right-hands, ending in a parallelogram formation.
