Despite Protos antagonistic style this video of inside a Spit cockpit is rather smooth.
YouTube - "Kent Spitfire" in-cockpit display at Biggin Hill 2007
That said I have no clue how much if any air turbulence there was in the video and what the simulated conditions were in the SOW video.
either way the SOW video is first rate.
edit: after taking another look I realized the camera was fixed to the airframe so it would look much smoother than the same camera affixed to the pilot helmet