All paper money created is related on a top down value dictatorship anyway. If that central bank fails in some way then the money which is your money will cease to hold value in any case, in a sense after that being true it doesnt matter as much where the money is stored in the various banks related to that central bank. The top bank ensures all other users of the currency follow the rules set or are closed down in favor of a better acting party.
Its not a secret door, most measures taken by central banks and the government in issuance of currency are opening targeting currency inflation by design. They no longer promise to honor a set value but aim to devalue by about 2% every year. The continual funding and liquidity given to all banks is part of this deliberate policy against hard money, its very different to even as recent as the 1980's
Unfortunately this is true, and it's quite unfair as well, and we can't even say that it's unfair because if we do then they label us socialist. I mean let's make it fair is not a socialist thing to say. For example, if I bankrupt tomorrow, if the government saves me from bankruptcy and helps me on my feet and gets me a job and finds me a way to make money and just basically turn my life around, that would be considered bad as a political move, government can't help every citizen right?
In 2008, most famously the banks failed, and yet government saved them all, because that was all they have to, why? I mean if the defense is "if these banks bankrupt, all your money is gone", why not just use the money to help the people, instead of the banks?