I would call a card reissued by the manufacturer after the original run a reprint, or a reissue. A counterfeit is just that, a fake card. The MB's, to me, are "almost" a reprint and to others they may or may not be considered a true one. Either way I think it impacts the value a little. The MB Baseball are also a subset, as are Football and Hot Rods, of the larger set and I assume that you lose full set collectors in that scenario.
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