If I understand the question correctly, , you are asking whether body weight is affected by OSA (and not OSA affected by body weight).
When we have OSA, and we don't treat it, we become sleep deprived. And when we become sleep deprived, two hormones which regulate appetite and metabolism fall out of balance (leptin and ghrelin). The result? We have a larger appetite and a slower metabolism. Put those two together and you have weight gain.
It's really a bidirectional concern. Yet one more good reason to treat OSA... it can help you prevent weight gain and obesity.
Best wishes, Tamara (community advocate)