I would think it would work the other way around.
Othewise, we would have had a runaway move into one extreme or the other by now.
Hot water can't keep as much gas in solution, thus colder water equals more trapped CO2 and warmer equals more released CO2.
This is not disputed by the AGW crowd. In fact, they trumpet the fact that the warmer seas will release CO2 and create a runaway effect. What they don't explain is why this hasn't already happened in one direction or another during the Earth's long history and how it could possibly come back from one extreme.
This is truly the stake through the heart of AGW. If CO2 was a driver, the oceans would ensure that CO2 would go to one extreme and stay there.