Anyone who has seriously studied the data KNOWS that the oceans are moderating the temperature of Earth on several, possibly non-continuous, time scales. There seems to be several “phase shifts” visible in various temperature and radiation data for which the only sensible explanation is oceans absorbing and at some time(s) later releasing heat. The time scales seem to range from daily to millennial. I think a prominent one has a time scale of 6-12 years, and another is a couple centuries long. Until these processes are understood and included in climate models, those models are really garbage.
I'm glad to see that serious work is being done now in this as well as the new ARGOS ocean data network.
It is impressive that these researchers have to include geothermal heat in order get reasonable numbers.
The ratio of the volumetric heat capacity of water to that of air is approximately 4000, I think. The ratio of the volume of atmosphere to the volume of ocean is around 3. That means that the heat energy contained in the oceans would be approximately 1300 times the heat capacity of the atmosphere.
Only somebody entirely ignorant of physics would attempt to predict the future temperature of the earth's atmosphere without considering whether the ocean is capable of increasing or decreasing the heat in the atmosphere.