I don't think the paleo record(or the current record) bears that statement out, because most of the CO2 in fossil fuels was deposited during the Cretaceous period, and the temp then was only slightly higher than it is now. More CO2 means more plant and animal growth as they thrive in higher levels.
Now if you were to alter the water vapor(H20) somehow, that would cause a more direct effect on temperature. CO2, and all others are a minor GHG compared to water vapor.
Lindzen said in his recent Congressional testimony that major past climate changes were either uncorrelated with changes in CO2 or were characterized by temperature changes that preceded changes in CO2 by 100's to thousands of years.