So, I imagine I'm missing something.
Landlord X is renting his property to tenant Y. Tenant Y pays his rent with housing benefit. Y's benefits are cut, meaning he can't stay in the house.
X has an empty house to let, at a rate which is too high for housing benefit claimants.
If this happens across the board, won't there be a large surplus of expensive rental housing meaning, that the landlords either have to reduce their rents or leave their properties vacant?