When the White King is shocked by the suggestion that the winner might get his crown, it shows that Alice is again trying to be too literal—in this instance, she needs to be less serious and less literal about how she interprets what the king says. However, it's worth noting that until the king clarifies, there's no reason to believe that the winner wouldn't get the crown. The reasoning here doesn't make sense, which makes the king's anxiety about the fight make even less sense.