In shows/films with a lot of movement, particularly from the camera itself, a lot of people DO get sick from watching that sort of thing. A bunch of people reported nausea watching something like Cloverfield for example. I know when I was still working at ILM whenever camera jitter/shaking was needed for shots we'd have to be cognizant of the effect it could have while sticking to a director's requests.
It's also how roller-coaster simulator rides are effective - just being in the ride itself wouldn't be nearly as effective without the visual element. Also see any of those Oculus Rift videos of people falling over in the roller coaster demo for an example of how much the visuals can affect the brain.