That’s a pretty stereotypical way of putting things. People have different desires and needs and views on sex so it isn’t something where all men approach it one way and all women approach it another way. Some women have higher sex drives than your average man and some men are asexual and don’t have any interest in sexual relationships at all. There’s also aromantic women who don’t have any interest in romance, but desire sexual relationships. Evolutionary theory can be used to try to apply to the average male and female, but no one actually is just the average person, it is just a statistical finding out of the wide variety of attitudes towards sex. I’d personally of been freaked out if a woman just walked to me asking for sex when I was still single. People’s approaches to sex I believe are shaped by physiology, environment, and their perspectives on the world that are shaped throughout their lives about attachment and what is necessary to feel attached to others and what the purpose of sex is from their philosophy.