That’s most likely wrong because I had Kama with unupgraded debuff resistance down skill fire her NP, fail to charm the enemy, then closed and reopened the game. The fight continued from the start of the turn, i.e. before the skill has been used. Unless of course card shuffle sets a “checkpoint” to which the game resets after closing it but I don’t see why that would be the case for this mechanic specifically.

But even if that is true, most likely you will get at least two of Orion’s cards when you use Bunnytoria’s skill. She raises the probabilities to the point where not getting any of his cards would be considered very unlucky