If the Land Lords know that councils will pay it then they will charge it. Giving up subsidizing the high rents in city centres will cut rental values creating more affordable housing.
If you’re wondering what Labour are upset about, Bridge Ward News points out
The comfortably off public sector middle manager approaching retirement will have some spare money. They didn’t join the Labour Party or the public sector due to an interest in accounts and economic data, so they will be looking for an investment they understand. And it won’t be the stock market.
Tories buy shares, socialists buy houses. It’s not the cleaner that they’re worried about, it’s the over priced house with the over priced rent.
So they are looking after themselves again.