Why not demand a savings account for iphones to make apple rich? The fundamental problem is housing and (excessive) education is a non-productive activity.
I don't see any benefit for society as a whole, in a supply/demand situation, to make relators and school administrators wealthy, while making it financially much more difficult / impossible for kids from small families to compete. What philosophical reasoning behind a kid with only one bro/sis has to live in the poor ghetto or be unable to afford college, in comparison a kid with ten bro/sis will have far more money in his account and be better off for his/her entire life merely because his parents were more fertile? There's an obvious financial reason under this system for college admins and housing builders to encourage huge families, because they'll be able to suck more money out of them.
Another interesting effect of inflating higher ed prices would be the elimination via unaffordability for adult education. No more going back to school to learn X if the tuition for X has been exploded such that only children with 18 years of savings and 10 siblings can afford it. I'm not sure as a cultural trend that using the hammer of .gov policy to discourage lifetime learning (insert cliche about the economy being faster than ever, blah blah) is a wise social goal.