This is completely backwards and wrong - marriage selects for the good women, and weeds out the rest.
In fact, marriage today does not select for anything whatsoever in women. Any woman, any at all, can very easily get married if she so pleases. To a decent man, too. Thanks to self-improvement culture, there is today a very disproportionate amount of high-value men compared to high-value women. Women have their pick of the litter, even if they are "post-wall" or mentally ill or what have you.
I strongly disagree with the assertion that marriage serves as a eugenic filter. It very much used to, but the aspects of it that made it serve that purpose have been completely destroyed.
The fact of the matter is, marriage does not exist. Not anymore. It does as a sacrament, but not as a physical reality, not as a social contract. I highly recommend giving this a read, I found it quite insightful:
@cirnosad: Debunking modern marriage. A short thread. /🧵 What we regard as marriage today, isn't what marriage used to mean. Today we associate a marriage with a wedding, registration, a semi-official ritual and all...…
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Marrying a bad woman is dysgenic, because those marriages don't last and the kids grow up damaged who usually fail to reproduce.
Do these damaged kids have particularly low chances of reproducing? I'm not really convinced that the impact on their chances of reproducing is very large. There are many different kinds of "brokenness" that a bad upbringing can result in, and some of them do affect this (e.g, men who become total faggots due to having devouring single mothers), but I think mostly you end up with cluster B types, who certainly do not appear to have any trouble finding partners.
I do agree that marrying a bad woman is dysgenic while marrying a good one is not, but as stated before, I don't think marriage filters these bad women out, and because there are so few women of good moral character available today in the first place, I think most men actually do end up marrying what I would very much consider "bad women."
The entire society has been tweaked, configured by our social engineers, in such a way that it simply does not produce women of good character. They do exist, but they are produced in spite of the society. They are produced ONLY by strong households led by a strong patriarch, where the wife submits to him, and both are decently virtuous, intelligent and discerning. At the very least, discerning enough to understand that homeschooling is the way to go. I think we all agree that such households are rare and very rapidly dying out, and that there are systemic forces in place that make it very hard to create one.
Men of good character, on the other hand, can and frequently do kind of just turn out that way on their own regardless of their origins. Men are not a product of their society and their upbringing anywhere near as strongly and immutably as women are. Men are, I think, usually defined a lot more by bloodline and ethnicity than anything else. Temperament and innate dispositions are very much hereditary. Epigenetics means you can change these things to an extent, and certainly some men are abnormally succeptible to social engineering (trannies are the biggest example), but in most cases, men are destined to become their fathers and grandfathers.
10 or 20 years from now, if the good Lord grants that I may live that long, I expect, and hope, that I will look at myself in a mirror, and see not me but my father.