The large council estates in the UK often were an attempt at pushing poor people out to cheaper areas in many cases. Even in zone 1 most of the council estates that still exists are there because those areas were cheap, deprived, often bombed out hellholes in the post war years, and so were a convenient place to build cheap council housing.

It's just that they've now become desirable locations.

Continuing to move people out whenever an area becomes desirable is a deeply anti-social and very much temporary solution, and creates the new issue of dealing with the fact that a lot of the jobs are in the centre and a lot of the people who need this housing can't afford to get to them if they need anything more expensive than a bus pass.