Think about it this way:
You are holding a 5 foot log stick. One end of the stick is in your hand. The other end is on your subject.
Or, you are holding a 10 foot stick.
If the movement of your hand is the same, independent of the length of the stick = for the same amount of movement of the end in your hand, the other end of the stick will move more if the stick is 10 feet than if the stick is only 5 feet away.
How much more depends on which way your hand moves and how much - up, down, if you turn or if you tilt up or down - depends on which axis you hand moves. All of them if your hand is not stabilized.
Now think about the way your camera moves when your hand moves. The further away the subject is, the more stabilization the camera needs or the faster the required shutter speed to make a sharp image - some formula of both.
Try it at night with a flashlight.
Shine the flashlight at something 5 feet away. Move the flashlight a little. Try it again on something 25 feet away. You will see without scientific measurement if you move the flashlight the same amount on a subject 5 feet away and 25 feet away the circle of the light moves much more on the distant subject and it moves faster.
Same thing with ballistics. If you shoot something 100 yards away you have to be more steady to hit the bullseye than you do to hit it at 10 yards away.
The distance to the subject amplifies the shutter speed/stabilization needed to make a sharp image.
That's why you see people saying IBIS is not helpful when you are shooting distant subjects at long focal lengths. It is effective, it does work but not as well as it does if subjects are not distant.
This is why people buy ultrazooms expecting museum quality images at 2000mm of birds sitting on branches or perching on rocks are dissappointed. The lens usually doesn't have a big enough aperture to capture detail unless its very bright, and they can't hold the lens steady enough.
I've seen images taken by SONY ultrazooms of distant birds at 600mm that look terrible but birds that are 10 yards away taken at 600m with the same camera by the same photographer that are excellent images.
You can take good photos of distant subjects but to do it successfully you need better IBIS/faster shutter speed in my experience. The further away the subject is, the more difficult it is to make excellent images of it.