At this point, yeah Sullinger is overweight. Yes, he is also more than likely predisposed to gain weight with a high emotional attachment for food.
However, when it comes down to it, we need to acknowledge that Sullinger is a professional basketball player and a man. If he wants something (such as a long, maximized NBA career), he needs to see what he's doing wrong and correct it. We're making excuses for him, and some are valid. But at a certain point Sullinger needs to realize the consequences of his actions.
This reminds me of the terrible teacher we all have had at some point. Everyone does more poorly than they should. However, some students push harder and get better grades while others allow the difficulty to get the better of them and must accept the negative consequence.
No matter how valid Sullinger's claims are, he's reaching a point where he needs to put up or shut up with the talk of losing weight.