Thank you for your reply edi, unfortunately I don't have time to discuss or clarify some of your misconceptions about the work (leaving for France in 4 hours...) but I will question one thing:
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If the difference is similar, even modest CO2 increases would show increased temperatures.
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Clearly though, this is not the case, historically or currently.
Further you need to source your claim about CO2 having a greater greenhouse effect than water (unless this isn't your claim). It is generally accepted that water vapor has a greenhouse effect of 2-5x that of CO2. I'm talking about the entire picture, which takes into account both efficiency and total concentration.
So yes, CO2 for its concentration has a large effect, but its concentration is tiny compared to water, though likely more volatile, however, still not at anything near historic levels.