Speaking of Pielkesport, Roger Sr. is into it with Bart and Gavin at Our Changing Climate and Real Climate, not to say nothing about what is going on at Skeptical Science. FWIW, it's the old the Argo floats are the God experiment, all we need to do is look at heat transfer in the top 700 m story, but all this has caused the Bunny to think, a very dangerous thing. (Reader Rabett can go to Real Climate, or Skeptical Science to catch up and Bart has an excellent summary)
Everyone agrees that the great majority of the heat transfer from the surface to the deep ocean occurs in the small areas where there is down-welling because of overturning circulations, e.g. in the North Atlantic Deep Water east of Greenland and around Antarctica, driving by mixing of fresher water from melting ice with saltier water from the warmer direction.
If the heat transfer is concentrated in space in those areas where there is down-welling of the overturning circulations, then for the question of where the energy is going, 99% of the Argo floats are irrelevant, the energy is moving into the deep ocean only where the down-welling occurs.
The net effect could be that the 0-700 m layer warms from below, but not much because the relative size of the 0-700 layer is small compared to the deep ocean, but maybe enough to compensate for warming on the surface driven by climate change.
In this model the deep ocean equilibrates with the atmosphere before the 0-700 m level. In net, since both the top and the bottom are warming at (for the sake of argument) at the same rate there is no heat transport across the 0-700 m level. Looking for heat transport vertically in the 0-700m level is a Pielke errand. In fact, it would not be surprising if there were a little bit of heat transfer upwards as the heat sucked down at the poles spreads out below and warms the thermocline.
It's a bathtub with two drains, a jacuzzi as it were. Heat injected on the surface moves laterally to the drains where it is sucked down. There is no substantial movement of heat vertically except at for the down-welling drains.
Is this an original Rabett Run theory. Almost certainly not. It is too obvious.