you argue that it isn't economically viable to do this, and this is the reason it hasn't been done.
Currently the people in Antarctica are there on research projects, increasing it to 20K people would imply what? Something other than research? What do you think will be required to make Antarctica housing of 20K people for 100 years economically viable.
Finally, what do you think will be the effect on climate change of at minimum quadrupling the people in Antarctica and providing them some sort of economically viable reason for being there?
What do you think the effect of putting an output on Mars will be on Climate Change? I'm thinking negligible in comparison. Aside from all the other arguments that we CAN put people in Antarctica the complexity and side effects for our environment are more dangerous than putting them on Mars.