Not by my book, just like the war on drugs is not a real war, nor is the card game war. I don't care what the name is, it depends on what it actually is.

According to the Collins Essential English Dictionary (the first definition that they give us), "open armed conflict between two or more countries or groups"

But they also list, "a particular armed conflict" and "any conflict or contest"

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"The wisest men follow their own direction." - Euripides