I'd suggest that the problem lies in confusion with the concept of "limited war", where that concept is considered to require "limited means" (in military strategy and/or tactics), as opposed to a "limited result" (in the policy end goal which underlies the war).
E.g., we (say the political masters) will conquer only the south 20 miles of the opponent's country - the "limited result". The means used do not have to be limited and may in fact take everything off the table - and use it. An example was Ike's back-channel proposition to the North Koreans, which would I suppose be patently illegal today (according to the ICJ) because it involved the threat to use nuclear weapons.
So, a "limited result" may be logical as a policy; but then all means necessary to that end goal must be employed.
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