If the same temp, why are you assuming that radiative exchange only occurs with the VERY near surface air? (theinconvenientskeptic.com)
First to demonstrate how radiative transfers work and second to show that given a purely radiative exchange the temperature of the earth would be significantly below what we experience. (jennifermarohasy.com)
The concept of radiative exchange was the discovery of Prevost [17]. (scienceofdoom.com)