That's a famous story and book yeah. Norah Vincent, self-made-man is the title.

Lesbian feminist (now of the more, Christine hoff summers kind) gave it a shot for 18 months, realised some realities about 'privilege'

""Men are suffering. They have different problems than women have, but they don't have it better. They need our sympathy, they need our love, and they need each other more than anything else. They need to be together."[2][3]"

Died just this year (swiss medical suicide) and so its been doing the rounds a bit more again the past few months.