While it's true that procuring material/financial support from a man isn't the necessity it used to be for women, I would suggest they are still hard-wired, to an extent, as well as socially conditioned to be attracted to men with available resources (also consider the increasingly popular belief that an acceptable lifestyle requires two incomes.) Keep in mind, too, that emotional support is likely considered by women more important than it used to be. They are less likely today to be satisfied with a man who just goes to work everyday and is then distant and uninvolved in domestic life. This is another reason for women to be selective of their mate for what he can provide (rather than just who he is,) despite their opportunity to be financially self-sufficient.

I think since women can afford to let men work for them (their "service" to reproduction is more expensive, so they can ask a higher price), many will just choose to not work and let the men pay instead.

Not everybody LIKES to work.