I think this hits the core: We are discussing RAW where RAW in its most straightforard intepretation is incoherent. There are multiple valid interpretations that resolves this incoherence trough bending common use of terms a little. Destroyed=killed is one, but not the only of these. Destroyed=reduced to 0 hp is another valid intepretation. Destroyed=[Undead/demon destruction + Living killing + Rendereing unconcious] is another valid interpretation. And if you insist destroyed has to mean something more than the basic rule given it's inclusion (I do not think so, as redundancy is a thing), then I would say Destroyed=no longer relevant for the game is a valid interpretation.
So which of these to chose from? Well I tend to go with the one I think preserves most of the rules, which would in this case be the redundancy interpretation. However if I am convinced that all of the above is equaly valid according to the text I would absolutely jump on the oportunity to use the interpretation I like the most for my game, which would be the latter.
That is if indeed the participants dont agree on intepretation of a written rule, I think the GM should go with the intepretation suggested that they think provides the best game experience for the group, RAI be damned. And that seem to be the situation here. You claim RAW is minions always get killed. I claim that the in fiction state of damaged minions are undefined, and can be decided by us on a case by case basis if this ever is relevant to bring up is equaly RAW.
Which of these two rules would you prefer to play with, if RAW is no longer a concern?