C.E. Evans wrote:
And wouldn't most admirals of Kirk's rank have access to classified material upon request?
Not unless it's considered necessary for them to do their jobs. Project Genesis was a delicate situation, a commandant may know of it but wouldn't have access to hard data regarding the project.
Even in corporate America, a VP of Operations may have a general knowledge of what's going on in Finance. But he wouldn't have security clearance to go in and read their documentation at their leisure.
Kirk is still the Chief of Operations with that type of clearance.