But women clearly aren't all that reluctant because already 50% of women make the same or more as their male partners. And although househusbands still make up a rather small percentage, it is a number that keeps growing.

As noted in the OP, “80 percent of women in their twenties believed that having a husband who can talk about his feelings was more important than having one who makes a good living”

As also noted, most women are reluctant to be with a man who isn't pulling his weight somehow, but I've known a couple of executives whose husbands stayed home with the kids and they were just fine with it. One of my good friends from college has a Master's degree and is very ambitious but she married a working class guy because he was the only one she met who wasn't threatened by her ambition and he was really nice to her. They've been together 30 years.

So, there undoubtedly are women out there who want someone of the same socioeconomic level and earning potential, but that's also true of most men at this juncture. "Men still rate youth and good looks higher than women do when looking for mates, but those criteria no longer outweigh others. Modern men tend to want mates who are on a similar level in terms of education or earnings potential."

Coontz, Stephanie. Marriage, a History (p. 286). Penguin Publishing Group. Kindle Edition.

I think that women want partners, and the way that shakes out can look different for each woman, but in general, they don't want a man who is leeching off of them. A guy who says his main ambition is to be a househusband probably raises a lot of red flags that he's actually just going to be a leech in a way that a guy who is pursuing a career and then makes a joint decision with the woman to stay at home doesn't. Maybe that isn't fair, but that's my suspicion of what is going on.