I just checked my bike and both are wrapped opposite of the park tool one-directional method. I've probably been doing it that way for a long time but I don't know for sure. But I also have problems with the tape on the tops of the bars slipping around. I've tried adhesive on the bars, I've tried double-sided tape, hasn't helped. I'll try the Park method next and see if it works better.

Now what wrap should I use- Cinelli cork or Profile synthetic cork? (I've been using Profile Wrap but I didn't know it was what they called "cork".)