Laura Braddock pays £550 a month for a two-bedroom flat on the Wirral. The state says she deserves £425 in local housing allowance. The £125 gap comes out of food and heating. In January, the strategies ran out and she went to a food bank. Her story is structurally unremarkable — and that is the point. The local housing allowance was originally pegged to the cheapest 30th percentile of local rents, a design that ensured low-income tenants could actually find somewhere to live within their benefit. Successive governments froze or capped LHA rates while private rents climbed. The mechanism is simple: hold the benefit flat, let the market move, and the gap becomes someone else's problem. That someone is always the tenant. The Resolution Foundation puts the average shortfall for a two-bedroom home at £158 a month nationally, rising to £324 in parts of London. Trussell estimates 62% of private renters receiving housing support have gone without food or heating in the past six months. These are not edge cases. This is the median experience of the benefit system's interaction with the private rental market. The government's stated response is to build 1.5 million homes, including a boost to social and affordable housing. That is a supply-side answer to a demand-side emergency. Even optimistic construction timelines measure in years; the rent gap hits household budgets every month. The DWP says LHA rates are "reviewed annually" and future decisions depend on "welfare priorities and the fiscal context" — language that concedes nothing. Trussell's ask is specific: relink LHA to the 30th percentile of local rents. The Resolution Foundation prices this at £2 billion a year. Trussell estimates it would lift 105,000 people out of severe hardship by 2028-29, including 40,000 children. The cost-per-person arithmetic is straightforward; the political will is not. The standard objection — that matching LHA to rents simply inflates rents further — has some theoretical backing but ignores the counterfactual. Landlords already set rents at market rates regardless of LHA. The frozen allowance does not suppress rents; it suppresses the living standards of tenants who cannot move. The extraction runs one direction. What makes this structural rather than anecdotal is the trajectory. Every year LHA stays frozen while rents rise, the gap widens, food bank dependency deepens, and the fiscal cost of eventual correction grows. The government is not saving money — it is deferring costs onto the weakest households and onto the charity sector that backstops them.