You’re wrong, I’m afraid. You’re being far too cynical. The authorities would be fully supportive of all families regardless.
So if a couple on benefits were to leave their small (probably semi-feral) child in their council house while they went for a few WKD blue’s, and a game or 2 of pool, at their flat-roofed local, they would receive sympathetic media coverage from the Daily Mail, probably a campaign of some kind, and the full support of the authorities