It should work better the closer you put it toward the back. Thickness advantages on the belly are due to increased compression strength, not torsional. The stabilcore is basically only there for torsional strength. It may have some advantages close to the belly.
Imagine taking the hook of a curve in your hand and twisting it around it's center.. when the stabilcore is near the back, it will resist the twist the most. Inwards near the center of the stack, it will be rolling around it's axis. Now, it shouldn't be completely neutral in any position, but more likely that you won't reap the most benefit away from the back.
BigJim