There are different hunting seasons in New York State throughout the fall, for different types of animals and different weapons. During the fall, the woods frequently ring with gunshots.
https://www.dec.ny.gov/docs/wildlife_pdf/huntseason21.pdf
When the leaves are changing, people from other areas and from the City do travel upstate to see fall colors. While that may not affect occupancy of all cabins, whose owners have often seen many autumns, it might affect some if the owners are renting them out to tourists or enjoying the fall weather themselves.
(I'm originally from upstate New York.)
JMO