I'm not a doctor, just had a close family member with a malformation there which was corrected with surgery. You should really see a specialist!
The issue they had is known as a Chiari Malformation.
https://www.ninds.nih.gov/Disorders/Patient-Caregiver-Educat...
Obviously this is purely anecdotal and not scientific at all, but it's fun to speculate. I like concepts that are intuitive, and this one seems pretty intuitive to me.
Both my neck and visual system got thrown off by it it turns out. I went to someone who does therapy for that, and with work on my neck + eye tracking the symptoms went away. Mental fatigue was a big symptom.
However, I did not have fatigue due to a particular angle, so that sounds different. But, I suspect you might have the issues I had as an additional factor.
I can’t help but wonder if it’s related to this rinse system in some way. Luckily it has improved a ton over the years but a bent neck still triggers it and I never found out why