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Familicide is not always preceded by violence, however. A desire for and sense of entitlement to control - especially over finances and the family “unit” - is a more common denominator. Familicide often occurs in the face of a spiralling loss of control over these areas, especially by a male “head of the household”.
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Too often, when fathers kill their children, the tendency is to frame it as a case of mental illness rather than gender-driven violence.
And lots more stuff expanding on what you said.
https://theconversation.com/why-do-men-kill-their-families-heres-what-the-research-says-132314
Not sure I agree. It happens too often and it's almost always men doing it to women and children. So while there may be a mental health element, something in society is creating/enabling men prepared to do this when the crisis hits in a way that isn't happening to women.
Personally I think there's a sick sense of ownership in these men that makes them think they have the right to take "their" families lives.