If you make virtual memory a necessary attribute to qualify as OS, there were no OS for the original IBM PC as the 8088 had no support for virtual memory. That's why my (tricky) question.
Yes, OS/2 did require a 286 until it required a 386.
If you make virtual memory a necessary attribute to qualify as OS
That would be pedantic and historically inaccurate and we shouldn't engage in that.
Naturally when we speak about PC, we don't mean the original IBM PC and nothing else.
https://en.m.wikipedia.org/wiki/List_of_IBM_Personal_Compute...
If what you're referring to as the "IBM PC" is the classic model 5150 and we follow your arbitrary designation of a "real OS", than no. But, by that same logic, I can say ducks aren't birds "if we consider birds only those with non-webbed feet".