You may have seen Chair Powell's recent speech on this topic, in which he noted that independence in our bank regulatory function helps to ensure that our decisions are driven primarily by the goals of promoting a safe and sound financial system and safeguarding the stability of the U.S. financial system stability.2 In this context, independence also means that we are not influenced by political considerations in making policy decisions.
Just as a side remark: When it comes to evaluating ex-post the information content of various indicators in forecasting exercises, Goodhart’s law is, of course, not only relevant for the real economic indicators, but also for monetary ones.