There are a couple of patterns where the back is truncated (sort of) or a half round sort of design.
Links:
https://thecrochetcrowd.com/crochet-tranquility-trinity-shawl/
https://saltypearlcrochet.com/mermaid-tears-shawl/
https://www.ravelry.com/patterns/library/uwila
Many thanks for the links!
That shaping is similar to Faroese Shawls, which generally have shorter backs and longer wings that can be wrapped around the body and tied in back.