I did all the steps as described, starting with Origin in game which was already turned off and then cloud save which didn't change anything either. From there i removed the battlefield 1 folder and repaired the game launched it set it up and even restarted the computer and repaired it again which didn't help.
I then proceeded to do a clean installation of the graphics drivers as you had described restarted it and tried taking the file out again and repairing the game which still did nothing, Overall in full screen it still has the blurry shake even after trying everything.
Under the same settings in Battlefield 4 the game doesn't have the issue that battlefield 1 does, both running at 1920x1080 with the 59 Hz option.
In case you'd still like to know I'm using an Asus Strix GTX 960 4GB graphics card.