I am not my parents. I did not have a say in their financial decisions. The argument you're making is equivalent to arguing that the debts of parents should be passed on to their children, a practice that was outlawed long ago.
While there is theoretical merit to that line of thinking, the practical extension of that thinking is that for all intensive purposes nearly every student planning on attending college is jobless and broke (aka a high school senior) and therefore can not afford college, and thus entitled to financial aid (regardless of if their parents are billionaires or below the poverty line)
So we should encourage people that earn decent money not to save adequately for their children's college education?