The wraps on the batteries bought is very thin. I personally buy new wraps from FastTech and re-wrap my batteries. Even brand new ones, right out of the box, I take the wrap off and re-wrap myself.
The wrap from FT is thicker and can take the abuse of the ol' in and out, lol
Now, eventually, all wrap gets ratty looking and needs to be replaced but I can say the FT wrap last longer.
Besides, you can get clear wrap and put your own pictures underneath it...Or, just leave it clear and freak your friends

In any case, if you need/want advice on rewrapping batteries, feel free to ask me.