The opposite.
I can't really agree with that. I think that if you have two objects of the same size, that are both focused reasonably well, that the one closer to the camera will have more blurring effect if the camera is shook.
After all the closer image, just by virtue of being nearer will take up more pixels of the sensor. More pixels moving will look like more blur.
Anyway, I took some pictures of the only things close to identical in size I had around, first in focus and still and then while shaking the camera: The strings in particular have noticeably more blur in the near field than the far, no?

But in the Arecont picture we have the opposite effect, far field out focus, near in better focus, which I think would be strange if it was just the camera movement alone.