Indeed, this is true and government could control both if it wanted to. It cannot be beyond government to create a building programme at the heart of which is a government bank to provide credit for houses at low prices. The 'market' doesn't work to house people. That we even think of housing as a market is insane. Build the houses and sell them at a reasonable price.
Or perhaps have local entities, councils perhaps, build extensively and rent out homes at low rents.
How many homeless people do you pass on the way to work? How did we reach such a low ebb as a society? How is it that we are even talking about houses that cost £300,000? My first house cost £20,000 in 1987. That was twice my salary. Now prices of similar houses in the same area of the same town are selling for £150,000. Over 7 times as much, while my salary has increased threefold.
It's about time we took responsibility and forced government into more action than abolishing a tax on house buying. That's not vision. It's ineptitude.