Today, the wrapper serves several purposes. (1) To help allure smokers, (2) to identify cigars, (3) to flex cigar-peen i.e.
The Davidoff Leather Cigar Ring, and (4) to keep the wrapper intact on dry, poorly cut cigars.
I mainly use the wrapper to flex my cigar-peen. People know I'm serious business smoking Dominican Cohibas and Gurkhas.