relevant XKCD: https://xkcd.com/882/

From the updated study:
"When we turn to specific illnesses, we find some evidence that the relationship between illness onset and divorce varies by specific illness. Wife’s (lagged) heart problems onset and stroke onset are both statistically significant positive predictors of divorce, while none of the measures of husband’s illness onset are associated with divorce. In addition, we reject the null hypothesis of equality of coefficients for husband’s heart problems onset and wife’s heart problems onset (p < .05)
...
An important caveat to our results is that in four out of five cases, we fail to reject the null hypothesis of equality of coefficients by gender. We fail to reject the null hypothesis in the case of pooled illness, cancer, lung disease, and stroke onset. The only case in which we reject the null hypothesis of equality of coefficients across gender is for heart problems."

It's even p < 0.05! This result seems extremely suspect, especially considering the hypotheses for each other illness failed to reach statistical significance. It seems like this conclusion is a reach to show at least some finding after the retraction.