All Christian egalitarians are aware that there is debate about the meaning of kephale in “the man is the head (kephale) of the woman.” At least some complementarians are not.
Is the complementarian preacher who speak as if the meaning is leadership, while many of his listeners have never heard the other interpretations, being honest? If he know many scholars understand it differently, is it honest to preach in such a way that the congregation keep on believing the meaning is undisputed?
The egalitarian preacher never have the luxury of even choosing to keep his congregation unaware of the other view. The nature of the wording ” “the man is the head (kephale) of the woman” mean the congregation would know of the other view.