by Hermjard
1. The eliminated player cannot take control of them, because, you can only control cards in play. And presumably, you cannot control cards, when you are not in play.2. Assuming for a moment, that the eliminated player puts these cards on his discard pile, because he is the owner. This would be according to the rules, because player cards leaving play, go to the discard pile of their owner. There is only one problem which prevents this: the discard pile of the eliminted player is inaccessible, in fact, removed from game, according to Nate. And elements of the game, which are removed from game, are not only inaccessable for the players in game, but also for the eliminated players.
3. Also keep in mind that Nate doesn't say, that the cards on the discard pile doesn't interact with the game anymore. He says the discard pile itself is inaccessible. So the whole concept of discard pile has completely vanished for eliminated players. There is simply no label, no arrow anymore, on which is written "Discard pile here".
4. So, the only possibility, which is left, is, that "foreign" cards of formerly eliminated players are directly removed from game, in the moment they leave play. There is only one problem with it: neither Nate nor the rules say so. But the rules say one thing: that no card is removed from the game, unless a rule or card text explicitely says so. So, because, no rule and no card text says, that cards of eleminated players are removed from game, they aren't removed from game, but only out of play. Cards out of play, must be placed on a defined space, and a space which is accessible for cards out of play. This discard pile of eliminated players isn't accessible anymore, as Nate said.
So which possibility as destination for these cards is left? Not any.