Call it by what it is
It's my conclusion that the reason for the difference in word choice had less to do with the symptoms and more to do with expectations. The children assumed their feelings were normal. Children know they live in a world they cannot control. They have no say in whether their parents are in a good mood or bad, or whether their teachers are nice or mean. They understand that fear is a part of their lives.
Adults, I believe, assume that if they are living correctly, they can control the event around them. When fear does appear, it seems all wrong--so adults prefer to call it by the names for psychiatric disease. Fear becomes a disorder, something to put in a box with a tidy label of "stress" or "anxiety."