No it doesn't.
People want to understand why someone has done something so awful.
They want to know about those people's history and background.
Saying 'evil wicked woman-hating monster kills his own kids' isn't particularly useful.
If you look at the DM commenters, not known for their progressive attitudes, there is no suggestion at all that what he did was anything other than wicked.
Whereas when women kill their children sympathy is meted out, e.g., here
www.mumsnet.com/Talk/in_the_news/164004-woman-suffocated-her-new-born-baby-walks-free
news.bbc.co.uk/1/hi/scotland/4903002.stm
Sample quote: "I hope she is not on here being totally and utterly judged
"
It's acceptable here for women to kill their newborn babies because of course they must be ill otherwise they wouldn't do such a thing.
Whereas when a man kills his kids nobody gives a fuck about his background, he's just a wicked monster.
Here's almost the exact same story, but with the genders reversed
www.mumsnet.com/Talk/am_i_being_unreasonable/a1553255-To-question-the-jail-sentence-for-the-mum-who-stabbed-her-4-year-old
In this story the facts are:
- the killer, a nurse, had a child with a man, who then, it appears separated
- she then shacked up with an ambulance chasing lawyer, to whom she sold patients' details, in breach of all medical ethics and patient confidentiality
- she was, rightly, sacked
- she broke up with her boyfriend
- she then killed her own child, and tried to kill herself.
And there's plenty of extenuating detail in the story.
The AIBU thread then says "She looks like such a broken woman"
Well of course she fucking does.