But wouldn't the reduced gravity of Mars play a mitigating role in the construction? Just for lifting the building materials you could build a temporary linear motor elevator along the side of the building and move several tons at once... and at a rapid rate as well! Thinner air plays a role, too - loads on cranes tend not to move around as much in the Martian breeze as they would in a Terran breeze. Altitude would be an issue if the workers didn't need to be suited anyhow, so no worries about altitude sickness.
Besides the sheer height, are there any real drawbacks?
Besides the sheer height, are there any real drawbacks?