I'm pretty happy that European "style" calls for rotating lines - its 1st -> 2nd -> 3rd (if available) -> 1st line all the time unless there is a PP/PK situation. As everyone plays about the same for lets say the first 2.5 periods if the captain decides to stick with alternate lines (i.e. just the "best" players to get that crucial point) its fine; if it works the entire team is happy, if not those left on the bench (which most times includes me) have an incentive to show during the next few practices / games that they belong on one of the top spots.
For the case at-hand, I think of a hockey game as a situation of
democratic centralism. During the game whatever your captain/a-captains says goes, and you have to follow his orders. If his decisions were questionable you don't argue during the game but bring it up after the game in-front of the team where the captain has to explain/justify the decision and the team decides on how to handle the situation in the future. Should the captain not adhere to this decision in the future he has to explain/justify this decision, if the team does not agree they might have to elect a new captain.