The brain doesn't handle resolution differently whether it comes from a digital or film source, what you are describing is a movement problem.
In both games, and handheld-shot movies like Cloverfield, there is a disconnect between your eyes telling you "I am moving aroung like crazy" and your inner ear telling you "Nope, I am sitting quite still thank you". *
You brain has a few options on how to interperate this, for people like you that get headachey and/or motion sick (my daughter cannot watch Cloverfied for more than 2 mins), the brain decides that if I am standing still, but the world is moving around me, then there is a fair chance I have been poisoned/ate dodgy food and so it triggers a sickness repsonse, and if you keep going, will most likely cause you to throw up, to help purge your body of what it perceives to be likely caused by a dodgy meal.
Rapid camera movement will cause this response in you whether done on film or in a game or a digital movie. The reason you don't get motion sick when watching movies shot on film, is that directors refrain from moving the camera quickly, as the 24fps makes the blur so bad that you can't tell at all what is happening on screen, so they simply don't have the option to do it.
Cloverfield was shown on film in many cinemas, it hat the same stomach churning results as when it was shown in the digital cinemas.
*(Brain Research Bulletin Volume 47, Issue 5, 15 November 1998, Pages 481–487)