For a planetary atmosphere as a whole that is not good enough because gravitational potential energy is very close to 50 % of the energy in an atmosphere. (newclimatemodel.com)
Robert (16:39:05): except that the relationship between warming at the surface and the lower atmosphere as a whole is not supposed to be one to one. (wattsupwiththat.com)
In this case, the source of the blurring is not water vapor but the atmosphere as a whole. (discovermagazine.com)