People get an unfair advantage for all sorts of reasons. That's not just restricted at the level of having good/rich parents, it exists at every level of human existence. People are born in rich family, raised in good neighborhoods, go to a better school, get employed in better companies and even to the extent are born in better countries.
One can't deny their children the right to a better life, simply because other children don't have it.
This isn't about an unfair award, but about an unfair punishment.
(Not saying I won't want to help out my kids, but I think it's worth questioning / considering these things.)