About the tarot (and i insist, i only make this difference for the tarot), I would be tempted to say that intuitive messages are from the instinct, which is an inner capacity, and psychic messages are from the spirit world, so, from outside.
Thus, on the one side, you have people who use tarot to raise the answers they already know but aren't conscious of them ; on the other side you have people who use tarot by channeling answers from spirits (at least, that what they think they do, i've never tried it myself as i only rely on my instinct).
In between, there are probably more "methods".