What climate was like 800,000 years ago is a matter of scientific research, NOT a guess. That's just deialist BS meant to cloud the issue.
How can you accurately research the air 800,000 years ago?
It's a guess. Hell scientist still aren't sure what killed off the dinosaurs along with at least 50 percent of all species living on earth 65 million years ago and they have solid evidence to study.
800,000-year Ice-Core Records of Atmospheric Carbon Dioxide (CO2)
Methods
At the Bern laboratory, four to six samples of approximately 8 grams from each depth level (0.55m intervals) in the ice core are crushed under vacuum conditions. The sample container is connected to a cold trap for several minutes to release air from the clathrates and the air is then expanded to a measuring cell where a laser measures absorption in a vibration–rotation transition line of the CO2 molecule..........
More pseudo-science.

Yeah here's some more mumbo jumbo for ya.
Ice Core Data Help Solve a Global Warming Mystery
The wide margin of error in the EPICA core data is due to the way air gets trapped in layers of ice. Snowpack becomes progressively denser from the surface down to around 100 meters, where it forms solid ice. Scientists use air trapped in the ice to determine the CO2 levels of past climates, whereas they use the ice itself to determine temperature. But because air diffuses rapidly through the ice pack, those air bubbles are younger than the ice surrounding them. This means that in places with little snowfall—like the Dome C ice core—the age difference between gas and ice can be thousands of years.
Parrenin’s team addresses these concerns with a new method that establishes the different ages of the gas and ice. They measured the concentration of an isotope, nitrogen 15, which is greater the deeper the snowpack is. Once they were able to determine snowpack depth from the nitrogen 15 data, a simple model can determine the offset in depth between gas and ice and the amount of time the difference represents. The researchers then compared results from multiple locations to reduce the margin of error.