I've found that happen as well, Sam. What I've done in the past (don't do many convex blades anymore) is make sure my belt is tensioned tightly, and then very gently apply the flat of the blade to the slack belt. What happens is that no matter how hard you push into the belt, the top and bottom edges of the blade will always contact the belt more as the belt itself is pushed into a concavity. By very gently touching the blade to the belt, you decrease the amount of concavity in the belt and increase the contact with the blade center. I've also taken a smooth piece of scrap leather and gently pushed the belt into the knife from the non-abrasive side of the belt just to remove those stubborn low grit scratches. This will make heat, and make sure you are very careful if you are near any of the moving parts (i.e. sheaves). No loose clothing at all.
Mostly what I've done with my convex grinds were more of a convex finish rather than a true convex grind. I've seen others create a faceted flat grind, if that makes sense, with multiple flat planes that they smooth into a convex grind on the slack belt. This reduces that tendancy for the "untouched center". I've even take a blade with such troubles and taken it back to the platen and rocked the blade in horizontal to get the deep scratches out before finishing on a high grit gentle-push slack belt.
--nathan