Latinate words are not a useful cover when you're lying. All Western central banks are effectively a branch of government and are directly responsible to Congress/euparl/$local_variant, and are run by a bunch of politicians (the chair of the Fed is Powell and the president of the ECB is Lagarde, ffs).
The notion that they aren't beholden to the popular will is just ridicolous.
Central banks in most developed nations are institutionally independent from political interference.
"The governance of central banks has two dimensions: corporate governance and public governance. Public governance is an institutional framework whereby the general public governs a central bank by and through the legislative and executive bodies in a country (...)".
"Independence of the central bank" means independence from direct intrusion by the executive branch, in the same sense the judiciary is independent from political interference.
That doesn’t mean that those are not government institutions.