Pierce and Groothuis argue that Paul commands husbands to love, not to exercise authority — a false dichotomy

Pierce and Groothuis write (p. 115 of Discovering Biblical Equality) that Paul calls husbands to love their wives self-sacrificially, and 'as head of his wife, the husband is commanded to love her, not to exercise leadership or authority over her.' Mike identifies this as a false dichotomy: loving people does not rule out exercising authority over them. Jesus both loves us and exercises authority over us.