No. Real property doesn't work that way at all.
The effect of most of this kind of government intervention in the housing market is to subsidise developers.
In fact it's so bad that in the UK shareholders of such a developer are outraged because the uncapped bonus structure for executives at the developer means they get enormous (many times annual salary) bonuses essentially directly funded by central government which the shareholders of course think instead ought to all be profits assignable as dividends, not "bonus payments" for executives whose "performance" amounts to just sitting back and collecting free money from central government.
Like there's not even doubt there about what this government money does, it goes to the house builders, it can't and doesn't magically produce more homes, the argument is about who gets to keep the loot.
Government can intervene to actually build homes, and that would actually work, but NIMBYs hate it, so if a government doesn't actually care about housing people then a policy that can be headlined as support for home buyers but actually just puts money in the pockets of the wealthy is a good choice.