> Women may not exert "societal pressure" against stay-at-home men

I'm not sure that the study supports this. I think that the terms "stay at home dad" and "stay at home man" implies a male spouse who stays at home to do unpaid housework or child rearing instead of working a full time job.

The study seems to say that, for men, being unemployed is positively correlated with divorce risk, but that doing a larger share of household labor is not.

Not all unemployed men are "stay at home" men.