I think what is left out of this article is the idea that social construction is not arbitrary. It is based on real social forces. These are often called a ‘concrete abstraction’ like economic forces.
Gender fluidity is based on the forces of postindustrialization and postmodernism where identity becomes more important than maintaining historic gender roles. It is also enabled by technology in the form of drugs and surgeries where biology can be modified to conform with identity.
This historic argument of ‘nature or nurture’ , science or society, is meaningless in a postindustrial and postmodern world. What is important is identity, recognition, difference, and other postmodern ideas.