What I'm finding hard to reconcile is that the same does not apply to the heat loss from a radiator to the room. Because all being equal, the same relationship should apply.
All I can imagine is that all is not equal because the house has plenty of natural air movement from the external wind whereas a radiator creates a convection current, so the availability of cold surrounding air for a radiator to heat is partly driven by the temperature difference, whereas in the case of a house, this factor is hardly worth taking into consideration?
I'm not sure of what you're asking mate. Sorry, I'm absolutely shattered. Only got a couple hours sleep last night 😕