"Removing" in this case is what happens with Sayge's triggered power, for example. Drawing a card from a deck and removing a card from a deck are two different things, even though in terms of the English language definition of "removing" they are functionally similar. The raid player will draw from Morik.
Also forbidden by this rule would be playing Owned! on an ally in the raid player's party and then removing all copies of the ally from the raid's deck. You'd still get the one in play (and perhaps the ones from the hand; I forget if that kind of removal is allowed), but you wouldn't get to remove any from the raid's deck.