The title is provocative and the article keeps that promise. @zuspotirko this should provide additional cud for more birth rate and coupling posts.
tl;dr It's hyperbolic but imo directionally true: we've increased the cost/decreased the benefit of cooperating in marriage and decreased the cost/increased the benefit of defecting from marriage. The game theory is a bit crude too, but the claim is that traditional western societies set about customs making cooperation the dominant strategy for men and women where otherwise defection is a dominant strategy (for men at least).