Actually I think the issue with London is not enough supply of housing in London and surrounding areas.
Here's 3 of the top 5 headlines from a typical local newspaper:
"THE Open Spaces Society has branded a decision to build 1,500 homes near one of the largest nature reserves in the south east as "outrageous".
Runnymede Borough Council has agreed to remove green belt status from the former DERA site at Longcross, on the boundary of Chobham Common."
Next:
"RESIDENTS are continuing to fight plans for 371 homes at Westfield Common in Woking, ahead of a crucial council meeting this week."
"A full planning application was submitted in February by Evolution, a partnership between developers Kier Property and Thames Valley Housing, to demolish buildings on Westfield Common and replace them with 371 homes.
A total of 651 parking spaces, plus outdoor play areas, landscaping and new access are also part of the application.
Opposition against the proposals has a long history, including victory in a public inquiry when the council was refused a common land swap in June."
Further:
"A PETITION to stop developments in the green belt around Byfleet has attracted nearly 900 signatures in one evening.
The Byfleet Petition, set up by the Byfleet Residents Action Group, was signed by 888 people in the village hall, High Road, on Tuesday"
Basically the South East has absorbed millions of new immigrants but essentially no new housing has been built.
In other countries you can just build. The green belt is essentially a means of enriching existing land owners by denying people the housing that they need.
The planning process, and the endless demands by councils for trinkets from developers (new roads, new schools, etc.) means that the rate of housing growth is far less than required.
If it was easier and cheaper to build houses, then prices would not have grown at the rate they have.
London is expensive, but so are commuter towns outside it -essentially demand far exceeds supply.
As for Tony + Gordon, they had massive majorities and could do what they liked. They chose to task the BofE with keeping retail inflation low, but not controlling house price inflation (or indeed immigration).