The center of population of U.S. population is in Plato, Missouri, near 37.52°N 92.17°W.
Ohio is far more amenable to business than New York has been in decades. The anti-business atmosphere in New York is palpably toxic.
The "center of population" for the entire country isn't nearly as important as the population within a traditional distribution radius of 10-11 hours. I suspect very few major shippers do any distribution west of the Rockies from points as far east as the Mississippi.
Also ... if you add Canada's population to the mix and see how the "center of population" moves northward and eastward. That's why there are more distribution/logistics centers in Columbus, Ohio than in Plato, Missouri.