Doesn’t matter how many high sounding positions there are and how good the ops manual and procedures are in the organisation, if the AOC holder has no legal way of effectively controlling the (in this example) instructors.
If a Head of Operations is named in the exposition under which the entities operate, and there are suitable descriptions of the HOO's duties and responsibilities, and also of what things other personnel must do under direction of the HOO, and what the HOO will do when standards are not met, then he's got all the legal and effective power he needs.