It can be seen as unkempt or lazy instead of admiring like most scars. The membrane eventually shrivels up, but it looks really nasty while it happens sometimes. The loss of a wing can be seen as a great sacrifice in battle more often than not, unless you’re not a warrior or a known good fighter. Then it would make you look clumsy and a poor fighter. To the public, Elaida was respected but to those who really knew her, the few who did, saw it as a sign of her withering mental state.
Most dragons will have the rest of the membrane cut away or cared for to ensure it stays alive (if they don’t want prosthetics).
~Weird Hyenas
