Haven't you read in earlier context (of the game not in my prior comments) and also Bradley told that Akonians are revering the Warlord?
Picking the obvious, would fail to appease the Akonians. (Means failing that mission about Akonians)
But if that affects the lore and connection to them, yes. But to your mission to kill the warlord maybe? (cause its exp too).
But still you can proceed to do "Kill the Warlord" mission regardless of any objective.