No, you're piloting the Millennium Falcon because Hondo is borrowing it from Chewie and needs your help! (even though he follows you the entire mission which indicates that you or the Falcon weren't really needed). MFSR is such a bizarre concept, story-wise.
Side note: I do agree that the amount of kinetic movement is very impressive and is something that is sorely missing from SWGE, but I don't think it alone is enough to say that this land is better. I still think it looks visually cluttered and physically cramped and well, to me, it's a lot more impressive to create a new world from the ground up and fill it with details that convey a sense of place than it is to copy and paste a bunch of pre-established props and setpieces into a space, Tetris-style. It looks like someone could design this land in Mario Maker if there was a version for Super Mario 3D World. Maybe that's the point, and it does that effectively, but I won't pretend that that is all that creative either.