I hope this is a rhetorical question. In case it's not, the reason is that the corrupt bankers own the corrupt politicians and the corrupt executive branch bureaucracy.
Why is it so important to the Fed to keep hammering home their "independence" from the political system? It's not to keep people from mistakenly thinking the Fed is a government organization. If they were concerned about that, they wouldn't have named the organization the "Federal Reserve" when it is independent of the Federal government. No, that's a deliberate impression they try to give to the peasants.
The "independent" talking point is aimed at the political and commercial class, to make sure politicians and businessmen are always aware that the Fed doesn't answer to them, and if they do anything to challenge the cartel, the cartel won't hesitate to unleash monetary nuclear attacks to maintain their grip on power.
The power to counterfeit money with no consequences is orders of magnitude greater and more dangerous than the power to control the US executive branch. The president is an ant in comparison to the Fed board of governors, and they make sure he never forgets that.
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