> My only claim is that is false and misleading.

Well, according to what congress wanted when they were founded, this is neither false nor misleading and judicial precedents until now have agree with that.

The idea they are under the control of the president and his staff is a novelty (and a disgrace in my humble opinion) but given the sorry state of the Supreme Court anything is possible.

> The idea they are under the control of the president and his staff is a novelty

Not true. Do you know about how these agencies came to be? And the presidency under FDR?

The executive Power shall be vested in a President

Find a single phrase in the constitution about independent agencies.