Not really. The Excelsior is still a new design, so the term would still apply with or without transwarp. I think the Chief of Operations has better things to do than to hang around the Academy, oversee a cadet taking the Kobayashi Maru test, and then going aboard a cadet cruise. But it would be befitting the Academy commandant. And wouldn't most admirals of Kirk's rank have access to classified material upon request? Not really, just the first one of its kind he's ever seen.