What's to mention? Energy flows one way....there is no need to state the obvious.
You self evidence is disproven by your inability to post proof of one way flow.
What do I have to prove? You put a hot object next to a cool object and the hot object cools down...the cool object warms up...energy moves from the hot object to the cool object....the hot object doesn't warm up further which would be the case if it were absorbing energy from the cool object.
No measurement has ever been made of an object radiating and absorbing energy from a cooler object at the same time...the longer this goes on, the more stupid you look asking for evidence that energy moves from warm to cool....You, on the other hand have been actively searching and the best you can do to prove two way energy movement is a mathematical model which does nothing but prove that the SB equation is correct when it describes a one way energy transfer from a radiator to its cooler surroundings with the magnitude of that transfer being determined by the temperature difference between the radiator and it's surroundings.
Hell, even Ian admits that he can't provide any actual observation of two way energy flow...you can't observe in reality the predictions of mathematical models...all we can see is that the second law is right when it states that energy doesn't move from cool objects to warm objects.