> The executive branch of government is more accurately viewed as a monolithic organization which derives 100% of it's authority by delegation from the US President.
This is a very extreme version of unitary executive theory, which is highly controversial even in its weaker forms.
Moreover, even were one to accept that extreme version of unitary executive theory, it would be odd to also assume an act of Congress purporting to create an subordinate executive officer who was appointed by the President but removable for only specified cause and granting authority specifically to that officer was then valid but had the effect of actually granting the specified authority directly to the President; a more natural conclusion would be that, as the express intent of such a law was unconstitutional, it was void and had no effect.