The Cold War Was World War Three

People sometimes write about the prospects for World War Three happening (ie https://www.express.co.uk/news/world/994542/world-war-3-iran-military-chief-trump-terrorism-world-war-3 ). It seems to me though that the Cold War really was World War 3 considering how many lives were lost and the global expanse. Those proxy wars between communism and democracy were the third world war and the aftermath still has consequences.

The number of weapons dumped into Africa helped supply the present terrorist and lunatic militia campaigns, If another global war occurs it reasonably ought to be named World War Four.