On checking a few sources I’ve seen both October and November referred to as Hunter’s Moon. I guess it depended where you were. What I had always heard was end of the harvest was celebrated at Halloween, allowing the men to go hunting in Nov.
It is somewhat in the realm of arcana. LOL. with all of the Gorebull warming/cooling/changing/staying-the-same it’s hard to say what we’ll be calling them a hundred years from now.