” And where does it leave the alleged Earth’s greenhouse warming effect?
288K -220K=78K and because of Earth’s faster rotation a couple degrees less, perhaps.”

If the earth was an airless rock, your example fails . It could not have a GHG atmosphere so it would not be 288K in the first place

As it has faster rotation it would be a couple of degrees warmer than the moon surface,not less. so warmer than 220 K. As a bare rock.

As a planet with an atmosphere and a temp of 288C.
It now receives less energy to the surface directly.
and more energy to the atmosphere.
The energy in the atmosphere radiates in all directions thus lengthening the time some of the radiation takes to get in and increasing the number of CO2 atoms that are actively in the energy pathways.The net efect is

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