I don't understand why MGTOW warns so much about (formal) relationships with women but not about legal problems with children?

As example it seems to be a general rule to warn about cohabitation, not only marriage, even as far as I understand the law of my country and apperently soe US states are the same, have no common law marriage?

So if you live somewhere without common law marriage the risk of cohabitation seems very low, especially if we compare it to the risk of women getting pregnent.

I get that it's easier to give up living together than to be really save on sex, so maybe that is a practical consideration, but still I find it strange.

Often I hear, but many man want children, but that is very contextual and not so easy. As example the studies I find that go a bit deeper into child wish show a bigger wish in women below 40 years but higher in man over 40, but that makes sense because human brains rationalize their wishes and decisions afterwards, so when a women can't have babies anymore she will start to convince herself that she never wanted (a / more) babies, because our brain does that because it tries to avoid pain.

But this studies all seem to fail because they just messure a binary state of "wish more kids" instead of the HOW MUCH do they wish it.

In reality I hear all the time of this form of shotgun marriages or shotgun pregnancies where women tell man "if you don't do this I leave you" but I seldom here the opposite. Sure there are claims that man take younger women because they want children which surely happens from time to time, but I think there often people mistake correlation with causation.

So they just assume that when a man get's a younger women and it happens that the women get then pregnent that this was the reason for the change of partnership, but often the man just wants a younger women, for more attraction and then either pregnancy happens or still again the women pressure the man into it and because his resistence is not as big that they would leave the women over that question they give in.

Because man over 40 only want 25% and over 50 only 10% want children while women <30 want 65% children.

According to that german study:

https://www.elitepartner.de/wordpress/wp-content/uploads/2020/06/ElitePartner-Studie-2018.pdf

It's really sad that we have so bad numbers about this, often feminists claim that man want children more, which is a big sign that the opposite is probably true, because feminists are notorious liars.

And all anekdotal evidence I have points to the opposite and it's pretty clear that man see children more as bonus on top of a relationship with a good women, while women even intentionally in many cases become single mothers, and if they get babies in partnership basically always the child takes priority OVER the man, while man usually still focus on the women assuming the relationship is still good and or she stays physical attractive afterwards.

But despite that, why is MGTOW so neutral about children, especially when the reason for suicide after relationships / marriages is as far as I can tell mostly the lack of access to the children, so if MGTOW tries to save lives by warning man for partnerships but the existence of children is in reality what kills them not the alimony to the women, why is there no warning to not get the women pregnent?