It should, Jason, but remember that you can also do Beginner’s Luck on any of the tests listed under the Psychology skill (NOT the stuff in the Psych chapter, unless you have the Bright Mark). So Ob 4 Perception to detect a worm or whatever (don’t have my book here, so don’t quote me on the Obs) and several tests down the road you have the skill.
The Psychic Duel mechanics make sense to me by analogy to the DoW rules, where you use Will to determine Body of Argument even if your debating skill is rooted in Perception, or even by analogy to BW’s Fight! where an armed combatant can roll Weapon Skill for a block, or an unarmed one can roll Speed for an avoid, even though Sword (for instance) isn’t rooted in Speed. A Psychologist defending in a Psychic Duel is performing a fundamentally different function than a non-Psychologist, so they use a skill that’s rooted in a different stat, and that’s fine to my eyes.