I'm not sure I agree.
Going off of your own link, in my scenario the Grebe is the blue bottle in the distance, not the pink bottle in the foreground. That blue bottle DEFINITELY changes in each frame, as does its relationship with its surroundings. The apparent distance between the pink bottle and the blue bottle is the kind of change I am talking about.
You can disagree, but you'd be wrong. Please read the linked post again, in its entirety
. The blue and pink water bottles are not my example, they're wikipedia's, and they are confusing because while the focal lengths are prominently labeled, distances aren't stated - and the distance is a covariant.
Scroll down to the beer bottles - those are my examples. Look just at the left column - those images have decreasing focal lengths but the same distance, and thus the perspective is identical. The 100mm shot could be 600mm for the grebe, and the 50mm shot analogous to a 300mm lens - if you're the same distance from the grebe, the perspective will be the same, whether the foreground is a loon or open water. To change the perspective as you see in the right column of beer bottle images, you'd need to be wading out into that 10' deep water. Bring your A1400 if you want, or your 600mm lens - in either case, it'll be the changing distance that's altering the perspective of the shot, not the camera/lens you're holding while treading water.