> I do agree the federal reserve as independent makes no sense but I don't think it's the same question posed.

I think it's the core question; are there really rules at all?

The two rulings make that answer clear, I think.

Roberts in Cook says that firing was "out of step with the statute Congress enacted and our nation’s tradition of central banking protected from political interference". How is the FTC's setup in this regard not part of the same tradition? What part of the Constitution permits the Fed's existence outside of any of the branches? Why can Congress establish a central bank outside the Executive entirely, but not regulate the FTC?