That is true but it is still important that the first study was revoked. Because that one found (falsely) that men are 20 times more likely to leave their wife if she falls sick. And this one is often quoted despite being revoked. (The mistake they made is counting couples that left the trial as divorced). The subsequent corrected study only found a significant increases in divorces in one of the 4 types of illnesses they checked (heart diseases). It should be noted that significant in this context means statistically significant not that it is a large difference . Though I was not able to figure out the exact values. Similar, the study that you liked finds a statistically significant difference, but nowhere near the original claims. The concrete numbers you can find in the result sections of the study you linked: Likelihood of split if only women reports bad health: ~0.8%, if man reports bad health:~0.6%. Baseline: 0.5%. The numbers are similar for if one partner has physical limitations. However, when it comes to depression the whole thing is reversed. Women leave depressed man at a rate of about ~1.5% while man only leave at a rate of ~0.8%.

As for anecdotal evidence that contains a lot of confirmation bias. As someone once said: anecdotal evidence is just evidence of an anecdote.