I was a big proponent of hanging until I shot a whitetail Sept 1st and it was in the nineties by the time I got it cleaned and back to the house. Took it right inside and butchered and then straight into the freezer. Tasted as good and as tender as any whitetail I had ever had before.
I think I'd still hang them if I had the opportunity to but not certain if it does as much as I originally thought. I did have some real tough elk once that after six months or so in the freezer seemed to tenderize a bit. Not sure what that was about