Some people believe that the term "Civil War Between States" is more accurate because it emphasizes that the war was a conflict between independent states, rather than between the North and the South. They believe that the term "Civil War" implies a conflict within a single country, while the term "Between States" emphasizes the distinction between the states that fought on each side.
However, it's important to note that the overwhelming consensus of historians is that the Civil War was indeed a civil war, and that using the term "Between States" is inaccurate and misleading. The United States was a single nation at the time of the war, and the states that seceded from the Union were never formally recognized as independent countries by any foreign government.