This is because the problem in OSA is an obstruction in the upper ariway. If the upper airway is blocked, no gas can get to the lungs. If no gas can get through the upper airway, it doesn't matter how much oxygen is in that gas, the person will desaturate as they are effectively not breathing.
Hypoventilation, ventilation-perfusion mismatch may be there is OSA that can be responsible for hypoxia that may be corrected by oxygenation and wat you say about upper airway obstruction, in most of the cases there is never a complete obstruction to cut off all the flows.
Supplemental oxygen may improve mean oxygen saturation levels but wil not improve quality of sleep which is probably the main cause of OSAS related complaints.
As mentionned above, with oxygen therapy, you have no effect on the sleep architecture. But in patients with cardiovascular disease and great desaturarion, oxygen therapy is an optionnal solution in patients with CPAP inobservance.
we can help OSAS patients by correcting their tonsils, adding the drugs witch increase the respiratory rate,sleep on side wise without pillow and weight reduction