As far as determining whether or not CO2 preceded or lagged temperature,
ice core temperature vs. CO2 is self consistent whether or not the dates are wrong.
Not exact matches
For the response of CO2 in
ice cores vs. temperature: we do agree that
temperature has a huge, fast (and slow) influence on CO2 levels.
That the
ice core CO2 levels are reasonable for CO2 measurements can be seen as different
ice cores at very different snow /
ice temperatures, inclusions (coastal salts
vs. inland salts content), accumulation rates,
ice age — gas age differences,... show the same CO2 levels (within 5 ppmv) for overlapping periods of gas age.
The problem with your analysis is that the
ice cores already reflect the ocean
temperature by measuring the ratio of Deuterium to Hydrogen based on the difference in the relative evaporation of each,
vs. temperature.