That is absurd. By your logic the War of 1812 was a “civil war” of no consequence.
Maybe it was. Would that really bother you so much if we reframed it that way? As a student of history, I recall from my studies that we had a lot of military interactions with England, after gaining independence, testing it if you will and yes, these could be seen initially as potentially a Civil War if England had chosen to escalate.