I think it is fair to assume they meant a just war. At least, that would have been my starting assumption. This concept also has a rich literature in Catholic history, fwiw. The question of whether most modern war qualifies as just feels like a separate question that is out of scope for the present discussion, though I don't disagree with you.

How nice to see that in truth, we have the three of us all found ourselves - at least at a high level - in agreement.