This is gold.
> In other words, if you use the Hz in the way it's currently defined by the SI, as equivalent to 1 radian/s, you can point to the SI definitions and prove that you follow their definitions precisely. And your physics teacher will still fail you and your clients will think you're completely incompetent because 1 Hz = 2 pi radians/s. And it has for centuries. You are both simultaneously both right and both wrong. You cannot win. You are perfectly right. You are perfectly wrong. You look dumb and unreasonable. The person arguing the opposite looks dumb and unreasonable.