* Dramatically increasing supply will dramatically reduce home prices. That's the point.
* Subsidizing first-time buyers will increase home prices. That's the opposite of the point.
* Subsidizing first-time buyers will increase home prices. That's the opposite of the point.
Subsidizing first time buyers does increase prices overall but you have to consider the effect of such a policy relative to its cost. It has potentially positive externalities so that’s worth considering while balancing it out eg with the previous policy.