No Oldlady, that's simply not correct.
For a man to get 50 50 care and control, he only needs to show he did 30% of the work - to paraphrase Dr.Johnson, the fact that a dog talks is so remarkable, that he doesn't need to do it well, to show that a man has done any significant parenting at all, is so remarkable, that he doesn't need to have done even a third of it, to have the court, himself, society and even for chrissakes, his wife, to imagine that he's doing 50 50 and to be awarded that in the event of a split.
It's just not true to say htat courts award c&c on the basis of sex. they award on the basis of how much day to day involvement in the actual logistics of parenting, that each parent has done and along with everyone else, they give more credit to men for doing any parenting duties at all, than they do to women doing it because women doing it isn't noticed. But even so, mostly women get c&c, because mostly, even now, even courts recognise that it's women who are doing that drudge work, while the men get the kudos of reading the bedtime story and they get to call that parenting.