>>3596680>stabilizing gyroscope to be more toward the center of gravity
That's not how image stabilisation works in consumer cameras.
Lens-based image stabilisation works by electromagnets shifting a lens element or group around to move the image circle.
That movement is controlled by a microcontroller and gyroscopic sensors.
In body image stabilisation works quite simmilar, however instead of a lens, it moves the sensor.
Only in rare cases you will find actual gyroscopes stabilizing the camera, that's usualy not quite as effective for a handheld camera as other means of image stabilisation, it is bulky, it is heavy, it drains betteries like crazy and it is also more expensive.
If you want to see image stabilisation-autism look at NASAs SOFIA-telescope.