The fact that men work harder jobs and longer hours to earn more money is well established, and is the basis of the earnings gap.

From what I can tell, there are two narratives that tend to frame this problem, both in an opposite manner from the other. I don't think they're mutually exclusive and I'd go as far as to say that both of them have an element of truth.

Narrative 1: Men are lazy around the house and aren't interested in doing chores or taking care of their kids. This forces women to perform these tasks, which often effects their careers.

Narrative 2: Many men would love to stay home more but women actively select for men who work more and earn more money. Presumably this is because of either hypergamy or because women are actively trying to secure a lifestyle where they can stay home with their kids.

There are a couple of studies that back up narrative 2:

This one says that there is a clear preference for women to chose men who earn more money. It debunks the idea that women help their husbands earn more money by "taking care of them" at home. Married men earn more money simply because women are interested in marrying those men.

https://journals.sagepub.com/doi/abs/10.1177/0003122418784909?journalCode=asra&

This one I found on r/FeMRADebates claims that when there are fewer men around to support women financially, women are more likely to work for a living. They also go after traditional high earning jobs that men tend to do. This makes it look like it's a choice that they make after the option of marrying a wealthy man is no longer viable. In particular, this effect is most pronounced among less attractive woman. Which indicates that attractive women who are still able to secure a high earning husband chose to stay home or work easier jobs.

https://www.ncbi.nlm.nih.gov/pubmed/22468947

There are other studies I could post on this topic but I'm more interested in what other people think than I am trying to argue this position. The idea that women take advantage of men to work less is something of an elephant in the room that a lot of people don't like to acknowledge. And while I think there's some truth to it, I also don't think that it's the only factor at play.