I think the article I linked to gets into that a little bit. Another point it makes is that the longer a warming period results in a slower cooling period afterward. One speculation is that the higher CO2 level slows the cooling period. But the author is honest enough to say that it’s not clear that that is the case and other factors need to be explored. In any case he says “I have not found a single situation where a significant raise of CO2 is accompanied by significant temperature rise- WHEN NOT PRECEDED BY TEMPERATURE RISE.”
SPecifically there is a 2-3 ppm rise in CO2 per year (see link in my previous post). To be due to temperature there would have to be a 0.2C rise in average ocean temperature each year. That is certainly not the case.