I rest mine for a day or so before the freezer. It depends on what I've got going on.
Why not try eating a fresh one, resting a few and right to the freezer with others? You have enough and if you mark it on the packaging, you can see if there is a difference.
I have always read that you MUST rest the bird. I also watch a lot of cooking shows and many that are filmed in other countries. I always find it interesting that in other countries, a bird is butchered and goes right in the pot. Makes you wonder.