I have no idea why this paper is at the top of HN, other than that the former founder of Palm is the lead author.
Setting aside that it hasn't been published or accepted, the only remotely novel thing seems to be they suggest that location information is represented in each column, and this occurs everywhere in the neocortex.
Well, what does the actual biology do? On the one hand, it's well-known that the trillions of long-range connections mean you can find neurons almost everywhere that will fire in response to place/location stimuli.
On the other hand, the entire medical history of restricted lesions and targeted deficits (Broca's area, Wernicke's area, patient HM's hippocampal anterograde amnesia, visual scotomas, etc etc etc) indicate some brain areas really are specialized for some things more than others.
The brain has some redundancy, but it's such an expensive organ (2% of body weight, but 20% of your energy budget) that I would not bet on such widespread replication if avoidable.