Could be... =/I dont know how @gnole got the OWP, it seems that it is just mistake, no other cases report issuing OWP while holding the CSQ.
I personally know of a guy who got his CSQ and tried to extend his stay with an open work permit, and it did not work. He had to stay as a visitor, precisely. Then somebody told him that he was in fact, eligible for an open work permit, but it was all so confusing and mixed information. In the end, he dropped everything and went back to France. He could not stay here without work, and nobody wanted to sponsor his closed permit...
I am sorry people are going through similar situations with these constraints...