When I was in Vegas there was a repairman that almost insisted on cleaning my wrap. It was a new cue and clean, but he said, "you'll see".
After starching and pressing he dispensed a small amount of unknown liquid onto a paper towel and wiped the wrap with it and repressed. I asked him what was in the bottle and he told me it was shelac. I asked if he had watered it down and he said, nope. Plain old shelac. It was tacky for a couple of hours and when it was starting to lose its tackiness, I burnished it with a piece of leather. I tells ya, that wrap is still shining. Maybe other cuemakers won't agree with his method, but it does a super nice job. I'm pretty sure that shelac would glue down those little hairs for ya and leave the wrap better than new. And ya know, it doesn't give it a Meucci shine or anything that looks phony at all, just looks super pressed. It was peak business hours so he just gave me the cue, but I did see him doing others and he used a heat gun to speed up the process. Hope this might help you as I'm not a repairman, just passing on some info.
But hey, it beats the heck outta using Neat or Nair, don't it.
PS, was it you that I bought that Sly coco sneaky from? If its you, that cue is a great player and still going strong.