So it was not communist, as there was a state. And it was not communist because there were class differences (unless we are to believe that the party elite did not live differently to the rest).
But that did not distinguish them from the rest of Eastern Europe or the Soviet Union - none of these countries described themselves as communist, but as socialist, for a reason: They all used the lure of a future communist society as a carrot to get people to accept the many sticks being applied.
So he's half right, but for the wrong reasons.
EDIT: In any case, whether or not one agree on the above definition of communism, Bulgaria certainly was not different enough to the rest to set it apart. Either Bulgaria was communist too or none of them were.