You dropped "on a short-term scale" when quoting me.
The contradiction that you see escapes me. Please explain how the fact that our proxies don't allow us to talk about decade- or century-level temperature movements 50 million years ago contradicts the statement CO2 is a lagging indicator of temperature change through most of the geologic record.
Also, you say I am confused about something. Perhaps. Say in precise language what you think that is, and I will try to clear things up.