I absolutely agree with you, Energy will not flow from a colder to a warmer body. Period. That was the essence of my statement #3.
There is one major overarching principle in your post that is totally misunderstood by you. I will only address that. If you can't understand that then you can't understand anything about the physics of thermodynamics.
You misread my statement #1. Let me address #1 in large colorful letters that should emphasize the distinction. I will reword it for clarity.
Radiant energy can flow from a cold body to a warmer body
I did not say,
Wrong wrong >>> heat can flow from a cold body to a warmer body. <<< Wrong wrong.
What is radiant energy?: photons. Any object above absolute zero will radiate photons. Photons are not heat. Photons are a form of EM radiation. A cold body will radiate photons.
Look up Plank's law on black body radiation. It's PHOTONS being radiated, NOT heat.
Suppose you are a cold body. You radiate some IR photons everywhere since you are a bit above absolute zero. If you deny this, then you are denying everything in thermodynamic understanding, black body radiation, emissivity, not to mention climate science which I suppose you already deny.
Suppose I am a warm body nearby. Some of your photons will be directly aimed at me. Just what happens to those photons They don't deviate in flight. They don't disappear in flight. They do hit me at the speed of light. How can you argue against that.
Since I am a warmer body, I emit more and higher energy photons everywhere, including at you. My photons will outdo your photons and you will heat up by virtue of absorbing my photons. I will not heat up. Really. If you can't understand this and deny it, all that's left in this thread is your angry bitter vitriol.