Someone who wants a house is not really willing to have an apartment. Someone who is ready to put this amount of money in a house is definitely not willing to get an apartment.
Lower apartment prices would cause a downward pressure on overall real estate prices, including for houses. As an extreme (and absurd) example, consider the scenario where apartment prices are zero or even negative. Demand for houses would drop dramatically, causing their prices to also drop.
End result: people who want apartments get them, people who want houses still get them and pay less for them too.