Storytellers

In my applied linguistics class this week we watched a movie, one of the sections showed a woman telling a story to some friends, she emphasized her points with almost excessive hand waving. The linguists then explained how she used her words economically and emphasized changes, clauses and movement with her hands. And she did it all naturally. A day or two after I went to a fireside where I heard several other speakers who also seemed to be natural storytellers. They used facial expressions, arm movements and just overall body language. It was very engaging. So are all good storytellers good hand wavers? And if so, are all natural hand wavers good storytellers?  I don't know,but I'm planning on watching more closely,
If so, it is kind of ironic how often people get teased for "talking with their hands."