There's also the mundane question of money. Unless you're already rich, raising a child alone is hard in many counts already; having your income halved does not help.
In my country (New Zealand) we have a government run, compulsory, insurance scheme for accidents and death. If you die by accident then your family gets a payout based on a percentage of your (former) income.
https://en.wikipedia.org/wiki/Accident_Compensation_Corporat...
We don't have the right to sue for accidents, relying on ACC for compensation.
"Heh, I'm going to kill myself so I don't have to work to support my family and they can have insurance money instead" is not a thought many people would have.
That's assuming a two parent income. What if one parent stays home with the children instead of working? Yes, you can get insurance. No, it doesn't replace a lost parent.
No, it's specifically worded to not be just about income. That was the point of rewording it as "support".