Enrahim
Hero
It appear you some place here jump from "destroyed" to "killed"? If you accept merely being killed can justify the label "destroyed" on a minion, what is the problem with also labeling merely being rendered unconscious "destroyed"? (Or labeling a minion with merely a broken wrist "destroyed", or labeling a minion with broken morale, fleeing, "destroyed")It may be that you are reading "destroyed" and "killed" as processes rather than states. Consider the rule for objects "An object reduced to 0 hit points is destroyed". For an object, "destroyed" is the state that results from being reduced to 0 hit points.
So for minions, destroyed is the state that they go to from taking any damage. Consider this question: once a creature is in the state "killed" can it be knocked unconscious? No, because it has already been killed. What the Knocking Creatures Unconscious rule does is allow players to choose between going to one or other of the unconscious or killed states. Not to undo killed.
With minions, players have no such choice because minions are destroyed by taking any amount of damage. That specific overriding general per the principle on PHB 11.
That is I do not see the destroyed as overriding the general principle in the PHB, as it operates on a different and undefined term. And indeed if you consider it an override, I demonstrated above that as "destroyed" need to be understood in a different sense than the literal, that this override could actually go in the other direction, allowing a minion at 0 hp to get away with weaker consequences than going unconscious, rather than forcing them into more severe consequence territory.