When I was first diagnosed with the phrenic nerve palsy and after a CT scan, I spent a night in hospital they kept testing my blood oxygen saturation and at times that night it was as low as 80 and beeping! Indicating I needed urgent attention and/or dieing. Even that didn't cause the nurse at the time to run though. During that night it varied from the 80 up to 90. Thereafter, and after a MRI scan, and about a fortnight later, I was getting readings of 90, maybe 92. Two years later I'm at 95 pretty consistently. So a reading of 97 is bloody good. No sure what that does for your hypothesis.
I have had lots of tests, and basically each one twice over. Some discussions with Dr Kaufman. I'm waiting to hear from the Dept of Health here whether I might qualify to have the procedure. So lots of touching wood.
Not sure what all this means for your hypothesis.