Life is not a contract.
Or what about "Sorry, kid, I technically provided you with food, water, and shelter. You can walk to soccer practice, as I have no legal obligations in this matter"
Which fits into your world view better?
For some people, the answer may rest on whether the child is younger or older than 18.
That said, I don't think people from collectivist and individualist cultures can ever agree on what the obligations a child has - if any - to their parents and extended family.