So, to address the final two points:
> (1) if cross-cultural variance undermines the evidentiary value of rational intuition, then it also undermines the evidentiary value of perception for the exact same reasons.
No, perception in a sensory context has some relation to real or imagined phenomena. Intuition isn't predicated on that relation.
> (2) experimental philosophy depends upon perception to arrive at its conclusions (as do all experiments). Therefore, if we can’t count on perception to give us the truth, we can’t trust the results of experimental philosophy because of that very fact.
What about "I think therefore I am"? However, I'm quite frankly never sure I've landed on the truth as a philosopher, and I feel the same way about science. But that doesn't stop me trusting it.