Spot on.
And projections about what may or may not happen over the next 2,000 years are COMPLETELY meaningless.
Why? Because (a) it's very difficult if not impossible to extrapolate that far out. And (b) - and this is really important - they assume that mankind over that entire period is powerless to do anything about it, and just sits back relaxed and watches it happen.
This is of course nonsense. Absolute nonsense. Who knows what technology we may develop over the next 100 years let alone 2,000.
How about self-replicating nanobots which assemble themselves into a series of enormous sun shades orbiting high above the earth, blocking out sunlight and returning us to a period of global cooling to rebuild the icecaps?
Calls for draconian measures today to prevent something which may or may not occur over 2,000 years would be like asking the ancient Romans to use all their resources to build a cobbled single track road across the Mediterranean, when nowadays we just get on a plane. It would be pitiful.