What men do is based on what men want. What men want is sex.
If sex is free then you can have all the liberal or conservative values you want, but it won't cause those men to work harder. Why? Because sex is free. Full stop.
If sex costs more than most men will ever have, then you can have all the liberal or conservative values you want, most men will still opt out. Since they know their chances are nil. Why? Because they'll never get sex, it costs more than they have. Full stop.
No amount of ideology is going to change these facts. No matter what the ideology is. (Of course, now I think about it, you could probably change it at the barrel of a gun. That is, the government could make blunt force laws that would force women to lower their prices for sex and companionship, or force men to work hard even in environments where sex is free. Or both I suppose? But that's not ideology moving men and women, but fear of the government's guns.)
And that's it. There is no grand philosophy behind it all. It's just a bunch of guys out trying to get off. And women out trying to get the best deal for what they offer. This is the kind of issue where liberals and conservatives generally go off the rails. They usually never account for base, vulgar human nature in their grand philosophies.