Like I said, I have skinned a bunch of bows. If you spend about 20 minutes doing this on each limb wrapping is unnecessary.
I have never had a skin shrink as it dries and pull away from the limb no matter how many humps and bumps I have on a bows back. When I get done with my thumbs, the skin is in place, the glue is starting to cure and the skin isn't going anywhere.
The only time I had a problem with a skin not adhering to a bow limb was when I put a set of skins on a bow that had been salted. The friend that gave them to me didn't know they only needed to be air dried, the salt wasn't visible. It took me a few minutes to figure out why the process wasn't going as planned.
I pulled the skins back off, took them to my laundry sink and washed them for about 30 minutes.
My next attempt at sticking them to my bows back went perfectly.