In those days we simply called it "OS" or "DOS" (pronounced D O S). I
don't know if that was their official names or not, but everyone knew
what you were talking about. I only added the "360" to give it
context for the younger readers and to distinguish from PC-DOS.
To my surprise, the VSE writeup even acknowledged that DOS was
intended to be a temporary system until OS could be shrunken down
enough to run effectively and efficiently on machines with small
memory. To my surprise, a good deal of VSE looks just like my old DOS/
360.