Personally I thought "you have died of dysentery... and robots" was funny without ever having played Oregon Trail, though I knew enough of the game to get the reference. But it feels more "funny" than "explains game."
For me, the high point of the AS trailer was at 0:50 - 1:02 with the words "one last chance to rebuild," "one last chance to survive," "one last chance to fight" fading into just "rebuild," "survive," "fight."
Right then, here are my taglines: "Every bullet - every bandage - every word matters." and "Your tools are the means; survival is the end."