I understand what you're suggesting, but I don't understand why you're suggesting it. A way for FF fans who don't want to plan an MMO to see the story played out anyway? If that's the case, I really would think they'd rather go watch the cutscenes on youtube and read the wiki than pay a month sub for an hour or two worth of cutscenes...

Since you can't replay the story quests I'm not sure a "fastest time" would make much sense unless you expected folks to start new characters and try for it...