I have no idea what you think that video shows but I can 100% guarantee they did not unify the first and third-person perspective because there is no gaming engine that is capable of doing that without extensive customization. All existing fps engines other than StarEngine (i.e., Star Citizen's modified CryEngine build) relying on "cheating" where they show a highly distorted first-person view for the fps perspective and a completely separate third-person view to other players. In order to unify the two views requires a tremendous amount of work and literally no one other than the Star Citizen development team has even tried to do this.
Most games just don't bother trying to unify first and 3rd person animation. It's enough that what the player experiences in first person and what other players see is roughly similar. SC has to do a whole load of image stabilization to make the first person view palatable to the player. It sort of makes you wonder why they went through that effort.
There a whole raft of ways FDev can choose to implement their spacelegs first person view. Having your gun/hands in view generally requires some sort of 'cheat'.
Destiny for instance does a few interesting things. The centre of the image is slight offset, which broadens the FOV without fisheyeing the whole image. The player head/torso are attached to the camera. Only the player sees that version. The legs are not actually 'attached'. These are common to the player and other players (I think). There's a different 'common' torso that's viewed by other players.
These are the kind of things FDev have to iterate just for the straight forward walking around, before they even get to zerog/low g decisions.
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