You can't add command block arguments to specific players that are offline.

In command blocks/commands you cannot add arguments to specific players.

Ex: /scoreboard players remove notch[score_score_min=10] score 10

What should happen is, if the player notch has a score of at least 10, the command block would remove 10 of score from notch.

And /scoreboard players remove @a[score_score_min=10,name=notch] score 10 only works when the player is online.

Instead it does nothing.