If you don't believe in net transfer of radiation and you disagree that entropy allows net transfer. Do you disbelieve the properties of entropy too? Just what do you believe that stops photons from being emitted from colder objects to warmer objects.
Since entropy is a mathematical model. What substitute to a mathematical model do you have that makes you disbelieve net thermal energy flow?
The second law of thermodynamics....
It is not possible for heat to flow from a colder body to a warmer body without any work having been done to accomplish this flow. Energy will not flow spontaneously from a low temperature object to a higher temperature object.
Let me know when they rewrite the law to support your view.
So what? No one is arguing against that. The Sun is the energy source doing work on the Earth.
Everything radiates according to its temperature (and emissivity). Heat is the net flow of energy. Radiation is only one form of energy transfer but it is different because it is passed in discrete individual packets that cannot be changed or cancelled out except in the presence of matter. Once created photons exist in their original form until they interact with a bit of matter. The creation of photons is controlled by individual atomic scale events, not by the general temperature conditions of a distant target.