The expensive pro-natalist measures you are talking about don't work. Europe has tried them for decades. China can bring in more authoritarian measures to correct low birth rates- e.g. restricting abortion, fining people or increasing taxes on people who don't have children after a certain age, etc. All have been proven to work.And herein lies the problem. China is a middle-income country with middle-income fiscal constraints and thus cannot spend lots of money for pro-natalist measures to raise the birth rate; yet, if it doesn't implement the pro-natalist measures, it will doom future growth rates for decades. However, China *can* implement cultural changes to induce pro-natalism but since that involves deflating housing, that would throw China's economy into a recession now. Everything about China's present culture from the use of real estate as the main household asset, to the rat race for higher education, unbalanced gender norms, internal migration restrictions and long work hours depress birth rates - changing it would take years China doesn't have (since the number of women of childbearing age steadily decreases as well as urbanicity and income factors that decrease birth rates) and would harm the economy (deflating real estate, reducing working hours, etc)
What you're saying about real estate is true but equally applicable to the western world except maybe parts of the US/Canada. It's easy to have cheap land when your ancestors stole it from another nation.