There's a potential window, yes, but this is why we have judgment and an ability to investigate the situation. Remember that:
Originally posted by IPG 2.4 Philosophy:
What a player actually remembers is not a consideration when issuing this infraction, only what
information has been publicly revealed.
That should probably say “only what information is publicly available”, to mirror the line in the definition, but the philosophy is clear: NAP cannot secure a more severe infraction and fix by “forgetting” the necessary information. If, in your judgment, it is clear which card was the last one picked up, and it is clear that they were not shuffled or recordered, I would lean towards LEC..