Although these various explanations of the greenhouse effect have a similar theme they are different from one another in that they each invoke different laws of physics and thermodynamics to explain how “greenhouse gases” warm the planet. Some of these “laws” don’t even exist or are a complete impossibility.
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The radiative surface combined with lapse rate
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GHG’s cause the atmosphere to emit OLR from a progressively higher and higher altitude. This forces the surface temperature to increase due to the lapse rate.
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Back-radiative heating where cold radiation heats a warmer surface
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Radiation from a colder source and/or radiation scattered back from the same source will cause a temperature increase on a warmer object/same source (self-heating) because radiation doesn’t have to follow the Laws of Thermodynamics as we understand them for matter. Back-conduction is non-sensical and can’t increase temperature but radiation can do this.