I think it would be fair to say that the "fast draw" was a real element in a very few instances, blown way up in scale by hollywood. Probably Hickock and a few others were really noted in their time for their draw speed. If surviving lore is worth anything, John Wesley Hardin may have been as fast as, or faster, than, anyone else in his day. As to Billy, the lore I've heard is that he was very fast on the draw, but couldn't hit the broad side of barn at any distance if trying to draw and shoot fast.