Armies need men, and government and business and technology and high finance. And teaching and medicine and adventuring and fashion. And all the serious arts. Offices, except for the typing pool, which is female, need men. It's homes which need women, except for the lawn which is male.
Women are for sex, motherhood and domesticity.
Men are in for status and action. Outside the home is high status, inside the home is low status. In popular myth men make decisions, women try on hats. In Holy Orders by P.D. James More . . . Before Daylight by Jimmy Carter - More . . .