Well, looks like we see the world in different ways. :-)

Of course age matters: younger women choose more by way of attraction, impulse and instincts (evolutionarily, as I said). Many mature women have learnt to use different criteria. The same can be said for men.

> "men are initially attracted visually."

This is an old cliché, but women are just as visual. If you listen to their intimate confidences, most of them drool over handsome men, similar to males. They are just less overt about it.

Regarding preferences, several research have shown that men find 80% of women desirable, while women find just 20% of men attractive. E.g.: https://web.archive.org/web/20131214162458/http://blog.okcupid.com/index.php/your-looks-and-online-dating/

That "men are more shallow and more demanding" is BS feminist propaganda. In reality women are just as shallow, and the more demanding. Only women publish long lists like this: https://thoughtcatalog.medium.com/stay-single-until-you-meet-a-guy-who-does-these-70-things-59868a7743d9

But of course you may believe whatever fairy-tale you want. :-)