Hard to say it ours will be totally better for you or not...least till you have given it a try.
For me personally a full size pillow has always done the same, just to big and put to much bend in my neck. I came up with the small Cub size for my preference of needing some support under my neck but not much more than that in the hammock. We started offering the larger Bear pillow a few days later at the request of folks looking for a bit more support and something headed the direction of the home pillow but not the bulk. I am OK with the Bear for a nap but for overnight I really only need a bit to support my neck, the curve of the hammock holds the rest of my noggin.