I would say that my most important family responsibility is earning money to support my family, running the family household, loving my children
I worry that when people welcome a child into their family, they are unable to get the time needed to establish care and a bond with their child without a huge loss of earning and/or even being able to afford to take the time needed to recover from childbirth and/or establish a bond if adopted, and unable to afford childcare when they do return to work.