It’s canonical Pinhead is androgynous, there’s nothing to contest. Why would Pinhead’s motivations revolve around radical social distress? It’s all about blurring the lines between pain and pleasure of the flesh. Cenobites don’t care about girl power unless it’s extradimensional sadomasochism.
I also find it weird people are concerned about their social anxieties when it’s Clive Barker. His writing’s purpose is to pervert human ideologies and flip the tables.