That's a mouthful! The economic problem here is that if you're a median wage household in a city like SF, NY, DC, etc. you will struggle to save enough money to make a conforming down payment while paying rent. Most of our teachers get trapped in a cycle of their wages increasing at the exact rate of their household expenses.
Homeownership in cities is not for everybody. But for those community members who are making a very long-term commitment to a place with very predictable salary schedules, locking in your housing payments is an important part of your security. In the absence of rent controls (which we can talk about at length on why they are often misguided), homeownership is the only form of insurance on rising housing costs.
As an owner (especially in California thanks to Prop13), you can be protected from the failure of all levels of government to build sufficient housing for rising economic activity in cities.