@Kharak
Can you link me to some article explaining this practice?
No

As I just thought it up. As I say, it may not work.
The jiggle is simply moving the lens from the point of focus to another point, and back again; ie the image is always taken at the same point of focus. I was hoping that engineering tolerances and mechanical imperfections in the lens MAY shift the image relative to the sensor each time.
The first approach, if you can, is to use handholding to achieve SR bracketing, which will guarantee image to image pixel shifts.