This is exactly one of those stupid things that contribute to higher real estate prices. It sounds good but will only make the problem worse. Other similar bad policies include low interest rates, 30-year mortgages, mortgage interest deductions and giving out loans to people with low credit etc. Whenever you make it easier for people to pay the current expensive housing prices, demand goes up and prices go up even higher."$1 billion in mortgage assistance for first-time homebuyers..."
If you stop subsidizing home ownership, prices will definitely fall. But no politician is willing to do that, because that would piss off current home owners who bank on their home going up in value even more. But why should existing home owners have an advantage over new home buyers? The current system benefits older richer people, who was able to purchase their home at a time when prices were much lower, and disadvantages younger poorer people. This is not good for society.
The main remedy for this problem is to build more housing. And for that to happen, we need to get rid of many building codes, zoning laws and regulations that makes building homes a lot more expensive than it has to be. Rent control is also bad because it makes it less attractive to build new homes.
The sad part is that many people want the government to step in and fix this problem, when in fact the problem was actually created by the government in the first place, because of the policies above. If building new housing was completely deregulated, and zoning laws changed to allow for more larger and taller multi-family dwellings, and there was no rent control, you can be sure that entrepreneurs would quickly build affordable housing to meet the market demand. That's what entrepreneurs always do, unless bad government policies prevents their projects from being profitable or prohibits them altogether, like with bad zoning laws etc.