I'm not trying to troll, but while you are correct about 3D monitors with LCD shutter glasses, you've missed a key point about Brainwarp: The left and right eye images are shifted in "game time".
That is, a 3D monitor flips between two images which are rendered at the same tick of the game's clock. Therefore, any spacial differences are solely due to parallax.
With Brainwarp, the left and right eye images are no longer synchronized. Assuming that the game is rendering at 180 Hz, the left and right eye images will be calculated at different game clock ticks; they will be separated by 0.0056 sec. While that's not much time, it might be noticeable (depending on the game), which would lead to spacial anomalies.
For example, a fast-moving missile might move a significant distance in that short amount of time, in which case the left and right eye images would show the missile being offset by the traveled distance in addition to the parallax. That would mean that the missile would apparently be at the wrong distance. In a first-person game, turning quickly might have similar spacial anomalies.
In practice, I don't think this would be noticeable in most cases, but it might be an issue for some fast-action games. It would be a bigger issue if the game were only rendering at 60 Hz, because a slower game clock-rate would allow more time to pass between the image rendering for each eye.