A song you played in Apple Music is shown even if you listen for a few seconds.
This is because we cannot identify when a song was played precisely and for how long.
We chose to display the song to ensure you have all the pieces in your history.
However, if you want to remove a song you skipped, you can go to your listening history in airbuds and report the song as skipped.
As we know, this problem is annoying we are actively working on finding a solution to improve this behavior in the future.