That sounds like a lack of imagination on your part. 
Where I live, renting a modest two bed flat will set you back between £1.6-2k per month (mortgage on equivalent property marginally less), and full-time childcare not less than £1k per month. A single income of £50k gives you a take-home pay of £3k. Can you see how almost all of that is gone on just housing and childcare, even before paying any bills, eating, travelling to work, or clothing DC? It's not the breadline (been there, done that) but it's not particularly comfortable either.
This is based on a rapidly-gentrifying, grotty, high-crime area of zone 3 London btw. Not somewhere upmarket. I'd like to continue living here because it's where I grew up, it's where my family live, and it's in reach of my long-term job. And again, to reiterate, it's not a desirable area, even now it's still somewhere people make doubtful faces about. I don't accept that people like me should have to move away from our jobs and our support networks just because the housing market is a mess (which is a deliberate policy decision btw, rather than some random accident of the natural world).
It's also just bad policy. Means testing CB costs more than it saves, as PP have noted. It's a political move to pit people against each other, and it works. All taxpayers should complain about bad policy, even when they're not directly harmed by it. It's our money.