Although the BONE cut is different for a chin wing, the SOFT TISSUE incision INSIDE THE MOUTH to get to the chin bone is probably similar to that of a genio, in which case, they might have to 'de-glove' the mentalis muscle from the bone to perform the surgery and re-suspend.
I don't have a definitive answer to your question. But since your posting history reflects that you already had a chin wing, you could ask the doctor this question.