You are correct. The hula, done by both men and women, does have masculine and feminine styles (or as we would think of them) at least today. Note that the male hula there was newly produced. The original styles were the same; the men would be a bit bouncier than the women but that's the only real difference. I'll see if I can find another example of kane hula. What must be remembered is the storytelling nature of hula. Whatever the story is, the dancers interpret. That is to say, there is no 'one style' of hula in that sense, male or female; it's all storytelling.
YouTube - Na Hoku Mai Kanoelani : Kane Hula
Hula Men: An Endangered Species, Male Hula Dancers Struggling To Keep Hawaiian Tradition Alive - CBS News
Even were it that way, it would not much surprise me, considering that Hawaiian culture is divided along VERY extreme gender lines...it used to be kapu (taboo, that is) for men to eat with women. As I mentioned in another thread, Pele may be the goddess of fire but only a man can light it in Hawaiian mythology.