Of course women should be paying for dates too. I am dumb-founded by woman who think not paying or splitting it somehow adds to their allure. It just looks needy and selfish to me.
Having said that, I do believe a reasonable proportion of men feel somewhat less attracted to a woman who appears more successful than they feel (as measured by financial means or career busy-ness). I’ve been told many times by both men and women hoping to offer helpful advice that if I just acted a little less smart, and a little more needy, I’d land myself that boyfriend. Just sayin.