Can't you (as a hypothetical landlord) simply ask the same rent for the new housing as you'd ask without this measure? Then it should be about as easy as it is

Can't you (as a hypothetical landlord) simply ask the same rent for the new housing as you'd ask without this measure? Then it should be about as easy as it is now to find renters (as this measure does not affect supply), and just as attractive to become a landlord as it is now. (Granted, demand for existing housing should increase if they are cheaper, but presumably supply will decrease as well as fewer people living there will move out - so I guess it shouldn't affect the pricing of new housing much?)