I probably didn't quite get your point. I asked because hurricane winds do cool the surface ocean due to mixing. There was an event a couple of years ago when one hurricane hit the cooler "wake" of a previous hurricane and lost significant strength over the cooler waters. But I think your point was about something else.
Mixing cooler water to the surface doesn't change the earth's energy balance. BUt concentrated convection does do that by suppressing wider convection and high clouds, less upper atmospheric water vapor, etc.