Governments that control central banks have often used their power to increase the money supply and create inflation. A growth of the money supply increases the revenue collected by the government through an inflation imposed tax on the holders of money.
These and other abuses of governmental power over central banks helped create the intellectual support for independent central banks. During the past several decades several central banks, such as the Mexico central bank, have become more independent of their government.
I have little doubt that central banks should have considerable independence Yet complete central bank independence from politicians does not seem desirable since banks also can abuse their powers. At times they can be tone deaf to what is happening in the economy, and at other times they are too much under control of the private banks that they regulate.