Just a question: have you ever been in a relationship? I'm just curious, because what other evidence do you have for the seemingly bold statement that women become more like their mothers as time goes on?
I'd say that's plenty of evidence.
I'd also say that the same goes for men, and more recently I've been amazed by how similar my siblings are to me, in comparison to the rest of the world.
Anecdotally, it's true to varying degrees with all women I know, and the similarities only became more visible as I got to know them better.
While I'm not a big fan of the points OP picked to focus on ("how well she keeps the home in order, raise kids, and AGE"), I don't think his statement that women often become like their mothers is so incredibly bold or hard to believe.
While my impressions of a love interest's mother (and to a lesser degree father) are not the deciding factor, they are an important data point, because in every relationship I've had, specific 'issues' that were immediately obvious in her parents eventually bubbled up in her as well. It would be silly to ignore that information.
I should've put it in this form: "Before marrying, people wonder "do I want to spend rest my life with this woman?" Well there's a good prediction of what your future wife will be like, and that would be her mother."
I just wanted to make it clear that I was agreeing with you on the general statement, not on the possible interpretation that the things you name are the typical things one should think of of in relation to women.