There's a video where an experienced pianist's eyes were tracked and compared to a less experienced player's. The experienced person had much less eye movement and displayed what might also be called a quiet eye. Both players were already familiar with the piano piece, so there's a difference here when compared to sports where there is an element of randomness (ex. tennis - is the serve going to go left right?).
I'd be interested to see if there's a difference between the "ultimate" quiet eye in procedural tasks (piano, free throw) vs tasks that have randomness (returning a serve, saving a goal).
Perhaps one difference is in the accept-respond loop you mentioned, with the procedural tasks being able to be reduced far greater than the random tasks. Say if a random task was reduced too far, you might get something like goalkeepers jumping in the wrong direction.
I'd be interested to see if there's a difference between the "ultimate" quiet eye in procedural tasks (piano, free throw) vs tasks that have randomness (returning a serve, saving a goal).
Perhaps one difference is in the accept-respond loop you mentioned, with the procedural tasks being able to be reduced far greater than the random tasks. Say if a random task was reduced too far, you might get something like goalkeepers jumping in the wrong direction.
Piano video: https://www.youtube.com/watch?v=GVvY8KfXXgE