Unlike the other answerers, I don't find it nauseating at all, and have been annoyed by situations with gray ambiguity in the past and resorted to creating a new layer solid contrast color by hand. I certainly wouldn't make it the only option, but if it's readily toggleable it could be useful to a good many users.
The speed is a bit fast, so I guess I can see how others would be nauseated by this¹. I'd shoot for about 1/4 speed of what you have it running at in the .exe
demo.
As for direction, try cycling the angle of movement from 0° to 360°. It must be slow; otherwise this'll really piss off the other commenters. Something around 30-60 seconds per full-circle cycle.
As for the argument that “it's distracting and i don't like it and no one will ever use it”… you're the designer here. Many graphic programs allow customization of transparency grid's colors and size… offering movement as an option just might be a stand-out feature for some. Just because some people can't handle it doesn't mean it wouldn't be useful to others.
¹ With other products in my past known to have nauseating effects on a portion of the population (Nintendo Virtual Boy, 3DS, iOS 7 parallax), I sense some kind of balance dis-calibration, but am not afflicted by it. I also have no issues with the rocking of boats, unlike a well-known portion of the population.
What purpose does the animation provide?
This is what I want to know. If it is not useful I won't add the option.