Agreed that is a true assumption.I am not arguing for anthropogenic climate change.
I am pointing out that the climate has been both warmer (higher sea levels) and colder (lower sea levels) than it is today. And, I am pointing out that the analogy is deceptive.
It is true that (due to the lower density of ice relative to liquid water) that melting sea ice will not change the sea level. But, most of earths frozen water is not free floating; it is sitting on top of land, above sea level. When this ice melts (or “calves” from an ice sheet into the ocean) it causes the sea level to rise, because it increases the overall water (frozen and liquid) in the sea. This is the issue I take with the cup of ice water analogy. A better analogy would be a cup of water with a cube of ice, sitting next to a giant block of ice whose melt water flows into said cup.
The entirety of the central US was once a shallow sea at a time there were no humans or ic engines.
Control the sun and perhaps the polar angle of the earth you can control global temperature anything else is political control of people.