There are "working poor" in London because benefit systems and uncontrolled immigration allow people with no means to have 3,4 children despite having existed without money to sustain themselves. I can provide a great many examples.
1 in 5 people in England were not born there and in central London boroughs around half (or more) of the populations of various boroughs live in social housing. The poverty you describe is not a result of government indifference to poverty, it's sustained and generated by policies designed to ease poverty.
1 in 5 people in England were not born there and in central London boroughs around half (or more) of the populations of various boroughs live in social housing. The poverty you describe is not a result of government indifference to poverty, it's sustained and generated by policies designed to ease poverty.