Welcome to the dark side. Cork is warm in the cold and wicks away moisture in the heat. And it's just damn comfy.
If your wrap is good, you shouldn't have a problem with it shifting around and opening up. Apart from that, you'll only rip it up if you wreck. If you can find electrical tape that matches your cork (black is always a sure bet), even then it can be patched up so that neither you nor anyone else will notice.