Here is Martin van Creveld in The Transformation of War (1991) essentially agreeing with Jean Baudrillard, that not just the Gulf War, but nearly every conflict of the post-nuclear era, did not take place:
One factor affecting conventional war as waged by both the super-powers and, increasingly, by other countries, is that nuclear weapons make their dampening effect felt in such wars even when nobody threatens their use. As a result, the United States for one has only been able to employ its conventional armed forces in cases where its vital interests were not at stake. The war fought in Korea, a small appendix of Asia several thousands of miles away, provides an excellent case in point. The American Chiefs of Staff recognized this even at that time, emphasizing the fact that the really significant areas were Japan and the Philippines. The same also applied to Lebanon (1958), Vietnam (1964-72), the Dominican Republic (1965), Cambodia (1972-75), Lebanon (1983), and the Persian Gulf (1987-88). Looking back, so microscopic were the stakes for which GI’s were supposed to shed their blood that most of the cases could hardly even be explained to the American people. On occasions such as the Mayaguez Affair (1975) and Grenada (1983), so puny were the opponents against which American forces pitted themselves that hostilities took on a comic-opera character. (p. 14)
In the convoluted logic of the post-nuclear world, if a state goes to war, it is prima facie because it is an objective not a vital national interest. Any interest that is actually vital would involve levels of determination that are simply too dangerous to test. Vital national interests are those interests for which states were willing to pay prices in other ages that can no longer be afforded in an era of total annihilation.