Dynamic Island is great for keeping an eye on current activities, no doubt about it. I can see myself using it for turn by turn navigation, public transportation, timers and so on.
But live score updates just seem silly to me.
I know this might be a very unpopular opinion, but sport games are not a background activity... Either you're actively watching the game (and in that case, you already know the score) or you are not watching the game (and in that case live score updates are kind of meaningless).