Kevin, even with greater evaporation, when one considers all the energy fluxes into and out of the ocean cool skin layer, as long as the change in net energy flux causes the cool skin to warm, the temperature gradient
between the cool skin layer and the bulk ocean below it will decrease.
So the mechanism should cause a decline in skin temperature gradients with increased cloud cover (more downward heat radiation), and there should also be a decline in the difference
between cool skin layer and ocean bulk temperatures - as less heat escapes the ocean under increased atmospheric warming.
Not exact matches
Increased warming of the
cool skin layer (via increased greenhouse gases) lowers its temperature gradient (that is the temperature difference
between the top and bottom of the
layer), and this reduces the rate at which heat flows out of the ocean to the atmosphere.
The ocrean bulk probably does not change at all because the deepening and / or
cooling of the 1 mm ocean
skin layer restores the equilibrium
between ocean bulk and ocean
skin.