I’m not an expert on Buddhism but this anecdote/story has never been particularly insightful to me. One criticism I have is that it treats Enlightenment/knowledge etc. as a single transferable piece of knowledge, and seems to not notice the impact of process and undergoing the ritual. “The journey is the destination” and so forth.
Chopping wood and carrying water may be the answer, but you might not realize the significance of that answer without deeply probing the question.
The word "mindfully" at the end carries too much meaning that can't be unpacked without reading a bunch of books. This story looks identical to many stories told in the dzogchen branch of buddhism. The basic idea is that normal life is full of earthly activities: chopping woods and carrying water. An average mind gets distracted by those activities and is dragged passively from one distraction to another. An enlightened mind watches these earthly activities with full attention, like you would watch colorful butterflies, but is not carried away from deep realisation that these butterflies come and go as simple decorations of the neutral state of mind, which is often called "emptiness". When these two qualities meet - emptiness and clarity of perception - the mind enters the natural state and if you can stay in that state while chopping woods and carrying water, you're enlightened. If chopping woods carries you away from that natural state, you're said to be "distracted".
Right - in that story that requisite process has slunk into the background - that "everything is chopping wood" means something quite different to someone who has read all the scrolls, and counseled all the kings, and attained the role of Abbot.
The fact about wood-chopping is the product of enlightenment, not the cause of it.
It is because any task you have mastered is going through the motions. On one hand I agree that the Abbott is being trite, because the boy wants more variety. On the other hand, the Abbott's point is that each variety becomes stale as part of the experience. I think the boy should be given more variety earlier and the story is dumb.
Chopping wood and carrying water may be the answer, but you might not realize the significance of that answer without deeply probing the question.