Id like to say that a hps or cmh bulb heats the air very little.
That air is also fast moving.
Ir light is fine, transpiration is highly efficient.
I feel your starting to see a bigger picture, reference to the sun was that it itself heats our air very little and an indirect form of heating heats our atmosphere. This and the sun kicks out a ton of ir, still a hot day dosent supplement the effect of ir on leaves, leds were wrong to make this assumption, fake science perpetuated to non scientific people.
The sun is actually closer than i would hang a hps if we go by lumens or micromoles, were all in a habitable zone