You see, that's the kind of [Poor language removed] up thinking I talk about. You create some fantastical scenario that covers a tiny proportion of the population and presume that's the debate finished. You're typical of the intellectual elite who lionise the poor but think them too stupid to ever do anything except accept your pity.
There is a degree of 'noble savage' around the contemporary Left's view of the poor. But on the other hand, we have a situation now where due to the last 40 years of government treating large corporations as gods there are vast swathes of people who would, in the past have been skilled labourers who now are working rubbish jobs for a pittance. Work doesn't pay any more as evidenced by the fact that it is nigh on impossible to have the life even my parents enjoyed (my dad a clerk, my mum a primary school teacher) where owning your own home and being able to raise a family is a realistic option on a working class income. My mother took 4 years out of work to be with her kids, it's just not possible now.
The Blair governments trashing of vocational training in favour of university shredded a lot of these jobs also, leaving a huge skills gap that has never been filled. Wages haven't kept pace with inflation for 2 decades meaning most people are seeing a real terms pay cut every year.
I feel I'm rambling here. What i am trying to get to is that the solutions you propose do work, no doubt about it, but they require early intervention. By the time somebody is long term unemployed or on minimum wage and raising kids it's too late. These programmes also need to be funded, which seems to be impossible in the current climate in the UK.
Something has to change structurally.