I forgot to mention another doctor called Dr. Peter Nakaji who is also in Phoenix Arizona who has done a number of C1 shaving along with Styloidectomy. He is currently at banner health,
see this link (Dr. Peter Nakaji, MD - Phoenix, AZ - Neurosurgery - Book Appointment). He co-wrote the article below regarding 10 patients who went through C1 shaving & Styloidectomy who mostly have their symptoms either disappeared or improved after the operation. You can read it below.
Link to Study : http://res.medtion.com/uploads/1/file/public/201904/20190430101725_37hia14e98.pdf