"Council tax isn’t a bill it’s a tax" oh puhlease! You knew what I meant and you're STILL ignoring the salient point - that if the govt were doing what it SHOULD to ensure people have enough money to live on (and I agree inflated housing costs, limited housing availability [which pushes up costs], low wages, impractical employment contracts are ALL contributing factors - AND they're ALL something the govt could change if they had the will. They could lift the nmw to an actual living wage and refuse to keep subsidising billionaire turnover companies, they could cap rents, they could build affordable housing, they could ban contracts that treat employees like shit... But they don't because they benefit directly & indirectly from the status quo - just look at how many mps are landlords or have shares in construction companies or housing companies, how many have shares in companies that pay low wages and operate zero hours contracts - this should be banned because it's a conflict of interests. If someone is an MP that's ALL they should be for the period of their service. They damn well get paid enough, the current cabinet mostly come from money anyway and don't even need the salary - so consider the real reason they want the position?) then whether you call it a bill, a tax or a fucking unicorn it'd be getting paid!
You're looking at the situation further down the road from when the person unable to pay is getting their income - from whatever source - when we need to go back to what people's income is and getting the govt to ensure people have sufficient income to live on. Not even just for that persons sake, but for the whole countries economy.
Even your argument re people downsizing in housing - overall it costs more to downsize a family -
Rent coverage, moving costs, change of school for kids possibly including arranging support for kids with disabilities, disrupting the families support network possibly even removing it altogether leading to stress, moving people further away from where they work...
Than it does to leave them be and instead look at building the housing we need so people are less likely to be either overcrowded or under occupied in the first place.
Building housing is a bit of a soap box of mine I'll admit - because it would help in so many areas - homelessness, reducing housing costs, providing jobs even training, stimulating the economy...
I firmly believe the reason current govt won't do this is that they are profiting very nicely from the current housing crisis.