The sad part is that that the arguers against all insist the cards themselves are sacred, rather than the business of studying the patient's process in responding to the cards.
To my mind this is pure pseudoscience. You might as well rely on some automated tarot card reading (versus using the random arrangement of cards as a brainstorming tool to get a new insight into some life situation).
edit: to clarify, I think there's nothing wrong with using inkblots as a diagnostic tool. It's the idea that one can only usefully score these particular inkblots that seems pseudoscientific to me.