female attraction (and sex) is the most central component of men's happiness

I can't help but feel like statements such as these heavily contribute to this idea that all men want is sex.

Certainly men do want sex, just the same as women, but this view that sex is a primary goal for men is not the reality, or certainly not the healthy reality. I'll agree that men wanting female attention is a core aspect to male happiness, but sex in particular, is not necessarily a part of that.

As a man myself, I can say that what I want most, at least at this point in my life, is companionship - which would include sex mind you, but is secondary to the concept of having a partner.

I think what is far more accurate to say about men and their happiness is that, as humans, we need social interaction, and further, we also need emotional expression, and so on. Our society is such that men seek out female companionship, for a multitude of reasons I'm deliberately avoiding at the moment, for that social interaction and emotional expression. If you look at the stereotypes of married men and bachelor men, you'll often see a depiction of single men being far less happy in terms of companionship - although often times happier in terms of their individual agency, reduced responsibility, and ability to do whatever it is that they wish at a given time.

Men, as a class, are constantly told that all the want is sex. Men, as a class, are constantly said to only want sex. As much as it is true that we constantly forget that women want sex about as much as men, we also much more often forget that men want emotional bonds and relationships too. And, to head some objections off at the pass, it should be noted that some men and women do or do not not want sex more or as much as the majority of other people, and similarly, the same can be said of men and women when it comes to companionship and emotional bonds. There's variance, obviously, but men aren't just about sex, in spite of what every bit of media on the subject of men's sexuality repeats ad nauseam.