I think the article takes as a given that men's labour participation is tanking, while women's isn't. For most of the audience, this will be common knowledge. Here is a graph about female participation:
https://data.worldbank.org/indicator/SL.TLF.CACT.FE.NE.ZS?lo...
But do we see the same disparity between immigration and marital status for women?
The issue raised here isn't (I think) that labour participation is shifting away from men. It's that _men_ have some specific issues. If those same issues are present in women, we need to have a different discussion.
I do understand why the article hasn't touched upon this, since it's just an attempt to diagnose the pattern seen in the overall male subpopulation, which is not seen in the overall female subpopulation. But I agree it could be interesting to look there too.