No, the question is, is that the case with this card? When you win the card, do they have it in the deck or not?
If they do, the obvious way to farm it would be to begin and quit level 1 AI games until they play it first turn. Seeing as they're seven or eight times as likely to have it that turn than on any other, there would be no real point in sticking around if they don't, especially as the only thing you'd lose would be score.
If they don't then I really don't get how this happens.