While I occasionally do readings for myself, I don't consider reading the cards in the "advice" sense to be introspection (don't get me wrong, it can be, but to me its very superficial).
I think the introspection part comes more on meditating with the cards and reflecting on the possible meanings, the ideas, concepts, rather than readings for advice for day to day situations. Visualization, meditation, keeping a journal. Then again, the dichotomy in my worldview is false, between Mundane and spiritual, and I separate them too much, so its quite possible that looking at the readings in that snese might be more worthwhile than I'm making it out to be.
And I really wish I had time to do the journalling and meditation right now.
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