I wanted to use my eyes to create 3D models via eye tracking. Looked into it for about a week before concluding it was probably impossible, or at least way less accurate than good old-fashioned hand movements.
Dunno what the Oculus guys are doing with gaze detection, but I doubt they're doing fine-grained detection such as being able to pick out a particular target with your eyes. (I would love to be wrong about this! That'd be an awesome feature. I just doubt whether it's technically possible.)
The way to convince yourself your eyeball isn't moving is to touch your actual eyeball with your fingertip -- like press lightly against the left corner side of your left eyeball with your left index finger -- and then switch your gaze back and forth between the two letters. As long as your viewing distance is correct, you won't feel any movement. (You may have to back your head away from the screen. I'm viewing from a distance of arm's length.)
On the other hand, if you look back and forth between adjacent words, then you can feel physical eye movement.
I'm assuming you've seen some peer reviewed research that fixed peoples' heads and used high resolution eye tracking to support your hypotheses, though?
I've trained myself to be able to do this with vertical lines, like window blinds.
Both are about $100 and have dev kits/SDKs, although I haven't looked closely at either.
I can't find it by googling, but a long time ago I used to read far too many Flight magazines.