There's nothing stopping them selling up and downsizing if their only valuable asset is their house.
Nobody has a right to an inheritance.
Living off £6k a year is perfectly achievable if you're mortgage free which I am, I wouldn't even say I live a frugal life on that, prudent perhaps but not frugal.
Are you on a fucking wind up?
You're telling me you live on £6,000 a year to pay all your bills and food with no government help or savings topping that up?? You'd just barely exist and that would leave nothing for anything but existing.