For sake of mental gymnastics I'll humor you. It's misogynistic because it's rooted in I presume in my culture that women generally don't sit and ponder problems, or resort to alcohol, drugs and crime as bad as men when things go bad. Women generally move on. So that belies a certain belief that women are the cause of all problems - And that is misogynistic.
The statement does not imply those assumptions, and even if it did, it would not be misogyny. The fact there is so much discussion about this is the 'issue' here and it's toxic.