Except that...she's not? Look at the Falcon scene; its Setzer who says "we have to find our friends" and Edgar who goes "right, first things first!" Celes just goes "Hey, a bird! Lets follow it!"
To say its Celes whose driving these conversations...I can't say I agree. If you look at many of these scenes, characters like Cyan and Relm just join cause "hey, you're here! I'll tag along with you guys!"
And again, Sabin was not talked into it by Celes; he had the idea FIRST. We start with Celes, but Sabin's been traveling around looking for the others. Its kind of a noteworthy factor cause it proves Celes wasn't the only one with that idea, and the only reason Celes has all the dialog with Edgar is cause "She's forced, Sabin is not; cut back on space." (do you really think Celes should have more dialog with Edgar than Edgar's own brother, otherwise?)
There isn't much in the way of Generic Dialog. In fact, if you want a "canon" way of looking at things, Celes recruiting everyone doesn't realyl fit, but rather, something more like this does:
Cyan: More got really into his charade; seeing the team just was a "Yeah, probably a good moment to stop this nonsense"; notice how the team doesn't say anything other than his name to him, and "These Flowers are beautiful." Granted, if we add implied dialog, the only thing that needs to be said here is "Cyan, we're fighting Kefka, wanna help us out?" He'd be all for that without any sort of convincing, for a number of reasons. I'd argue Sabin is a better character to do that here than Celes, cause Sabin has at least some connection to Cyan.
Gau: If they made a scene involving recruiting him, Cyan and Sabin would be the ones to do the talking, not Celes; they're the ones who have some remote connection to him. Celes wold be...kind of random.
Terra: Celes in the first scene, sure, but she fails miserably there. The second scene, Terra came to on her own, and that's kind of the point. The fact that she gets to the top of the Tower without even going to Mobliz once shows that Celes had nothing to do with Terra's own personal resolve.
Shadow: Whoever you think canonly fits beating him in the Colosseum; the only character Shadow has a connection with doesn't really fit here, oddly, but so it goes. To say "ITS CELES!" without any back up though other than "SHE'S RECRUITING PEOPLE!" doesn't really fly here.
Relm: No one in particular, though Celes barely knows Relm so I'm not sure why she'd be the one here? (Terra, Locke, maybe even Shadow? Sure, they'd fit, but Shadow aside, they're stretches, and in Shadow's case, it'd be a bit OUt of Character other than him maybe talking about Interceptor.)
Strago: Blatantly shown that its Relm who smacks sense into him
Mog: Plotless, doesn't really matter; if not recruited in the WoB, he actually just kind of forces his way into the team
Umaro: Recruited by mog
Gogo: Less plot than Mog. LESS. PLOT. THAN. MOG.
Locke's about the only one I'd concede was Celes, for obvious reasons; to say "Celes is driving the conversation!" just cause she started it...I dunno. Seeing as its Edgar whose shouting "Lets attack Kefka's Tower!" in the initial assault scene, and not Celes, I'm really questioning the validity of "CELES IS DRIVING THE CONVERSATION!" The only person she openly recruited was Setzer, and the only person I'd give her credit of optional ones is Locke (I'd credit her for talking to Terra, but she failed miserably in the recruitment there.)
I think Nintendo Power actually labeled the World of Ruin like that, hyping Celes being the driving force of the 2nd half of the game (and Terra for the first half).
And I'm pretty sure it doesn't, actually. I know the players Guide doesn't either (just checked it!); what it says there is just intro to the Solitary Island going "Celes needs to find some direction in a world lost!", and it just talked about how "Cid and her are the only survivors!" I remember reading the NP stuff a lot and it just says "Celes awakens a year later, blah blah blah."
Neither hypes the WoR as Celes' story, but just her as a starting character, which is really all she is, and all the game treats her as.