@Calista21269 - The vagus, glossopharyngeal & trigeminal nerves are the main nerves that innervate the soft palate so you’re right in guessing the vagus nerve as it’s part of the group. The pressure you feel going all the way to your stomach is probably also coming from the vagus nerve as you suggested.
It’s very important to remember that the styloids don’t need to be longer than normal to cause ES symptoms. There are other features of the styloids that can cause ES symptoms such as if the styloids are very thick, curved, angled, twisted, pointed or have bony outgrowths coming off of them, for example.
Your comment that the styloid/C1 space is ok unless your turn your head, also suggests that you may have some internal jugular vein compression that is being caused by your styloids pressing the IJV(s) against your C1 vertebra with head turning which can also cause pretty bad symptoms.
The symptoms you listed in your application to this forum are quite common with ES but not so much with hyoid bone syndrome.
Have you checked the symptoms list & what causes them that @Jules wrote?