I wonder why he didn't use tracks? In the US, Holt (the corporate ancestor of Caterpillar) was building tracked farm tractors to improve traction in farm mud from 01904 (getting a patent in 01907), and surely it wasn't news to anybody in Massachusetts that snow was soft and hard to keep traction in, like mud; and tracked vehicles were also being developed in England, and both France and England had deployed Holt tractors in World War I, and deployed tracked tanks by 01916, while Germany had built their own tracked tank by 01918. Muscott built his snowmobile with rear tracks and front skis in 01915. And apparently tracked vehicles were being used in Antarctica from 01911:
> In a memorandum of 1908, Antarctic explorer Robert Falcon Scott presented his view that man-hauling to the South Pole was impossible and that motor traction was needed.[29] Snow vehicles did not yet exist however, and so his engineer Reginald Skelton developed the idea of a caterpillar track for snow surfaces.[30] These tracked motors were built by the Wolseley Tool and Motor Car Company in Birmingham, tested in Switzerland and Norway, and can be seen in action in Herbert Ponting's 1911 documentary film of Scott's Antarctic Terra Nova Expedition.[31]
<https://en.wikipedia.org/wiki/Continuous_track#Snow_vehicles>
You'd think they would have done some testing of prototypes in more conveniently located frozen tundras before asking Congress for funding to built the full-scale vehicle and ship it halfway around the planet. Then again, maybe the goal was getting the funding, not delivering a working vehicle.
What if you wanted to attack the problem for real? Maybe instead of a single gigantic vehicle (the medieval units used in the article translate to 17 m by 5.2 m in modern units) you could use 2-4 smaller vehicles so that a single steering-system failure, uncontrolled fire, or carbon monoxide leak in the middle of Antarctica wouldn't consign the whole expedition to death. Maybe you could build a relatively lightweight dome that could be rapidly erected when you were parked, or perhaps even suspended on springs around the moving flotilla of vehicles.