Pressure gradients don’t necessarily mean C1 is or is not involved. Compression can be caused by styloids alone, C1 alone, styloid + C1, &/or by soft tissues such as another blood vessel, a nerve, muscle (usually posterior digastric or SCM), lymph node(s), connective or scar tissue.
Unless he’s stopped doing them, Dr. Coughlin at least used to do ES surgeries:
I updated the note by Dr. Osbun’s name to reflect your experience with him. For the time being I need to leave him on the Doctors List as we have members who can’t travel out of state for surgery so he could be someone’s only resource there.