I would suggest a refinement. The author proposes that the vertical cables be anchored in the ground with driven piles. This ought to work, but it’s ignoring a detail: the Martian surface is presumably permeable enough to air that the bottom of the structure would need to be lined. If the bottom were strong enough (e.g. the same material as the top), then the cables could be anchored to the bottom material. No piles needed. The resulting structure would look very much like an air mattress sitting on the ground, and air mattresses don’t need to be staked down.