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Jeff LichtmanFrank's explanation makes total sense. Try coloring with a magic marker on top of a pre-printed label surrounded by white paper; the ink from the marker sinks into the white paper and the pre-printed ink is not affected by the marker's ink. The result would appear as if the ink from the marker is below the pre-printed label -- which, of course, it is not.
Edited to add: Tim, I agree. But Frank's (and others') explanation combined with the sheer illogic of an initial cigar stamp on a sheet of blank paper, only to be run through a press blindly leaving the resultant card, is persuasive enough for me.