That's an excellent question.
The short answer is that it depends entirely on the provisions of the governing legislation. So if the legislation includes provisions that enable the Governor in Council to make regulations or prescribe certain behaviours or dictate actions that must be taken or must not be taken, then the Governor in Council is free to do that.
If, on the other hand, the legislation does not provide those powers, then there is no authority to intervene.
That's the technically legal question.
The separate issue is essentially more of a political question, which is to what extent—