That dynamic is actually one of the reasons I think Corey Booker's "baby bonds" idea is so clever. If a child enters adulthood with some amount that has grown in a way that matches up with the economic growth at large, then maybe they won't be locked out of housing ownership.
There is not enough housing. The solution to rising prices isn't giving people more money to further bid up the price, but to increase the supply of housing which would lower (or at the very least, slow the growth of) housing prices.
