If PAP survives Frankfurt cases via the flicker-of-freedom response (Fischer, Nozick), then the rationality gap identified in P2 is a feature of the counterexample strategy, not PAP itself.

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Counterexample strategy(philosophy and logic): A way of testing an idea by finding a specific example that breaks the rule or contradicts the claim being made.
Fischer, Nozick(philosophy of free will): Philosophers John Martin Fischer and Robert Nozick who developed important arguments about free will and moral responsibility—Nozick created Frankfurt cases, and Fischer developed the flicker-of-freedom response.
Flicker-of-freedom response(philosophy of free will): A defense of the Principle of Alternate Possibilities that argues even in Frankfurt cases, the person being tested does have at least a tiny moment or chance to act freely, which is enough for moral responsibility.
Frankfurt cases(as used in moral responsibility debate): Thought experiments created by philosopher Harry Frankfurt that describe scenarios where someone does something bad, but couldn't have done otherwise—used to challenge the idea that you need real alternatives to be morally responsible.

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