Airship as small FC house now that we can fly in 1.0 areas

[ItMe]

This. There's at least one instance with actual moving platforms, and that's in Copperbell Mines.

Also the Praetorum.
Same jittery problem.

As for elevators that move people to the sides, its impossible to know.
You've got the diagonal elevator in the Praetorum, but who knows if that's actually moving or if the room is.
Theres a duty in... stormblood? (Castrum abania?) where you're on a big platform that moves up to walls and enemies spill forth. But again, who knows if the platform is moving or if the room is. That section ends with your characters riding a conveyor belt to get to the next room, and as soon as you step on it your characters are locked in place.
Whenever they add true horizontal movement it seems to take the form of Sonic style grinding on rails (like in the Alexander raids).

[tdb]

You've got the diagonal elevator in the Praetorum, but who knows if that's actually moving or if the room is.
Theres a duty in... stormblood? (Castrum abania?) where you're on a big platform that moves up to walls and enemies spill forth. But again, who knows if the platform is moving or if the room is. That section ends with your characters riding a conveyor belt to get to the next room, and as soon as you step on it your characters are locked in place.

I'm fairly certain Praetorium's bossfight on the diagonal elevator, as well as the big moving platform in Baelsar's Wall are actually static and the scenery is moving around them. The corridor where Praetorium's lift descends is also most likely looping, so it can end just after the boss is defeated. Same thing with the opening sequence of Anamnesis Anyder.