Without pulling forward, I can twist the hyoid from side
, causing one end or the other to protrude from the side
of my neck far enough to get a fingertip behind the protruding end. Each end itself seems sore, but it doesn't appear to be attached to anything on the spine behind it, or restricted in movement. I can twist either end up or down by over an inch.
You seem to be saying that your hyoids have a specific normal position, and that any other position causes severe pain.