If that cooler 1 mm layer is indeed caused
by evaporation drawing energy away upwards then more evaporation should logically cause more cooling of the ocean bulk not less.
Not exact matches
Vegetation tends to have a cooling effect
by circulating moisture in the air that
draws away heat during
evaporation.
Alarmists have
drawn some support for increased claims of tropical storminess from a casual claim
by Sir John Houghton of the U.N.'s Intergovernmental Panel on Climate Change (IPCC) that a warmer world would have more
evaporation, with latent heat providing more energy for disturbances.
Thus there is a temperature inversion caused in part
by evaporation whereby energy is
drawn out of the oceans faster than energy coming up from below plus solar shortwave entering into the cooler subskin layer.
When
evaporation occurs more energy is
drawn from the surroundings than is added to the molecule
by the photon.
Now the sun would be expected to set up an undisturbed gradient from cold at the bottom to warm at the top but it does not because upward radiation from the surface plus energy
drawn upwards
by evaporation at the surface creates a layer 1 mm deep near the surface (the subskin) which is 0.3 C cooler than the water below it.