Logic seems to dictate that a ball with an asymmetric core would still seek its preferred spin axis, so pin-on-pap wouldn't exactly give you the response you mention. The preferred spin axis and your PAP would need to align.
If you want to take the core out of the equation, why mess with an asymmetrical core? Also consider, the core will still have some affect, namely the low Rg of the core. If the low Rg of the core is low, it will rev sooner and faster. If the low Rg of the core is high, it will rev later and slower.
Cover plays a bigger role and cover changes are a great way to tune these types of drills.
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J.J. "Waterola Kid" Anderson - "Better than Jello" - Kill the back row