The phrase "it's the woman's choice" in popular use is made in the implied scenario where the man wants a child. You hear it a lot because men forcing/coercing

The phrase "it's the woman's choice" in popular use is made in the implied scenario where the man wants a child. You hear it a lot because men forcing/coercing women into things has been a problem that got a lot of attention after the sexual revolution, and this case is especially dramatic since bearing a child is a particularly unfair burden for somebody who doesn't want it. If the man in the theoretical situation doesn't want a child and the woman does, then of course his opinion matters. The idea that women should be allowed to force men to have children is not, as your are implying, a problem of significant scale in popular culture or media (though, as usual with cultural/social/political wars, anything can be cherry-picked).