I see nothing in this video that supports the theory that this is a post production effect and not real video from a camera with a Tilt-Shift Lens.
There's a distinction between Tilt-Shift (photo) and Cine-Tilt (video) lenses. For photos a bit of adjusting between each shot can be tolerated for a cost savings, in cinematography adjustments to one part of the lens (focus, tilt, zoom) should have no effect on the other adjustments; these lenses are far more expensive.
Look at: this video - the framing is altered by sliding, later (like at 0:47) the 'rolling in and out' is caused by changing the focus slightly; in neither of those cases, nor anywhere else in the video, does the Videographer adjust the tilt shift mechanism while taking the shot - he locks it and shoots.
Here is a video where zoom is used to alter the framing at the beginning. In this shot the Videographer has locked the mechanism and then mounted the camera on the dash (or hood?) of a vehicle and drives through the streets (speeding up in post), again the mechanism isn't adjusted while shooting.
Here's another video with a lot of movement, notice how the 'in-focus area' is the same whether moving or panning: drastic change in the framing but the mechanism is locked.
In this video you can see that if you adjust the mechanism you must reframe when Shifting or Tilting. There's also this tilt.
With a Cine-tilt lens like the Schneider-Kreuznach Cine-Tilt it is designed not to move the framing while shooting video - A photographic lens is not always designed to limit focus or zoom breathing and wobbling because each image can be adjusted prior to pressing the shutter.
A higher priced video lens can not be recomposed for each frame and ought to allow adjustments to be made without introducing unwanted changes in the other aspects of the image that are not being adjusted (example: adjusting focus or zoom shouldn't adjust the other, similarly with a Cine-Tilt the framing should be rock steady - you get what you pay for).
Here's a panning, adjusting the tilt-shift and attempting to hold the framing while moving around tutorial (a more exact answer to your question). In part one he talks at length about his setup and using tilt shift to create enormous resolution photos which can be zoomed and panned in post. In part two he talks about adjusting the mechanism while live shooting (this answers your question).
I am searching for another example when the fellow walks around with his camera near a fence (and a playground IIRC) and makes adjustments while hand holding the camera, shooting live video. I can't find the link but I'll keep looking and return to edit this answer later today.
As a point of interest, Keith Loutit made a video called The City of Samba - it's a great use of tilt shift but you can see he wasn't brave enough to adjust while he shot, it's extremely difficult.
See this example of the Schneider-Kreuznach Cine-Tilt (watch the lower right corner) lens compared with the Canon Tilt-Shift photography lens.
With the cinematography lens large adjustments are smooth and flat-field, with the photography Tilt-Shift lens, when used for video, the framing bends and twists enough to make you seasick.
To use a photographic tilt lens for video you need to adjust slowly and gently, hoping that you can unwarp the video in post. Film makers don't have time and money to waste doing that, to get a marginal result.