Wolfs Head are doing their thing, as are Long Man and every other morris side.
They do it for their own reasons and each has his own belief in why the dance is performed.
What appears to be a common misconception to some, is irrefutable fact to others.
It has always been so, and always will.
Why worry?
As long as they enjoy what they are doing, and bring enjoyment to the onlookers, if they should also promote a moment of introspection or a feeling that "something special" has been witnessed, then the purpose of the dance has been achieved.
Pagan? Christian? Moorish?
Just words. And you cannot describe music and dance in mere words.
You have to either do it, or see it. And thank your own gods that it still flourishes despite those who denigrate hanky waving, stick bashing, old men with beer bellies, and sexy young women dressed all in black.
Long may it continue - in ALL its guises.