Your probably thinking of where Tidus got out of the water on that very same beach just like that right before you first meet Wakka. Thats probably why you feel like you saw it in the game. Its not exactly the same and its not an FMV, but basically the same thing is happening. Just like the Yuna one - its like when she does the sending, but that particular frame wasn't there (or was it), but the same thing was going on, so uhhh yeah.

I want those FFX posters dammit.