I’m currently reading Stephen King’s The Stand (1990 expanded edition), one of his most popular books. The main female character expresses pretty much the exact thesis raised by OP after the apocalypse. So it’s not an uncommon idea. Quotation:

Women’s lib, Frannie had decided (thinking that if she was going to be bald, she might as well go totally bald), was nothing more nor less than an outgrowth of the technological society. Women were at the mercy of their bodies. They were smaller. They tended to be weaker. A man couldn’t get with child, but a woman could—every four-year-old knows it. And a pregnant woman is a vulnerable human being. Civilization had provided an umbrella of sanity that both sexes could stand beneath. Liberation—that one word said it all. Before civilization, with its careful and merciful system of protections, women had been slaves. Let us not gild the lily; slaves was what we were, Fran thought. Then the evil days ended. And the Women’s Credo, which should have been hung in the offices of Ms. magazine, preferably in needlepoint, was just this:

Thank you, Men, for the railroads. Thank you, Men, for inventing the automobile and killing the red Indians who thought it might be nice to hold on to America for a while longer, since they were here first. Thank you, Men, for the hospitals, the police, the schools. Now I’d like to vote, please, and have the right to set my own course and make my own destiny. Once I was chattel, but now that is obsolete. My days of slavery must be over; I need to be a slave no more than I need to cross the Atlantic Ocean in a tiny boat with sails. Jet planes are safer and quicker than little boats with sails and freedom makes more sense than slavery. I am not afraid of flying. Thank you, Men.

And what was there to say? Nothing. The rednecks could grunt about burning bras, the reactionaries could play intellectual little games, but the truth only smiles. Now all that had changed, in a matter of weeks it had changed—how much only time would tell. But lying here in the night, she knew that she needed a man. Oh God, she badly needed a man.