No -- just convection! If you take a cold glass of iced tea out on the porch on a hot summer day, what happens to the temperature of the iced tea? (It doesn't happen because the sun is shining on the glass of tea!)
The oceans are a lot more complex than that; they give up heat in certain areas and absorb it elsewhere (tropics), but the atmospheric temperature is what determines the oceanic temperature.
You might be missing a rather large source of incident energy.