On the new standings page, any team that has not yet been eliminated from the cup has the tiny cup icon. In theory, after the cup is over, only the cup winner would have the icon still.
It seems that if a team has the icon, and didn't win the cup, it is because the team has a fairly new manager. If the "new team" was never eliminated from the cup this season, the standing page is showing the icon as if they are still in contention. That is my understanding of what is happening at least.