Oh yes, I appreciate that, but it is still wrong.
That's why I don't like seeing it repeated
No, actually it doesn't - sure you can get that effect by shooting something far off with a telephoto lens, but if you also shoot it with a wider angle lens (and with enough pixels) to crop down to get the same angle of view (as the telephoto image), you will get the same compression effect. It is all to do with where you are and the relative distances to different parts of the composition and nothing to do with the focal length per se.
That said, a telephoto lens allows us to see that view and capture it more easily and with higher quality. It may encourage us to look for compositions further away, but they were there, when we were here, all along, we could shoot a distant bird in a tree with a 50mm instead of a 300mm and crop down to the same angle of view - granted the quality wouldn't be great, but the relative size of bird on the tree branch will not have changed - as long as we don't move.
I think we're just discussing two ways of describing what we see and capture, I don't think your pictures above prove I'm mistaken anymore than they prove you're right - they would need to be like-for-like image sizes, shot at different focal lengths, taken from the same spot, and cropped (or stitched) to the same angle of view, to compare - and they aren't.
This is one of those things that many photographers believe, even those that have websites and write books*, because in the practical world, it makes little difference, but it is factually incorrect.
* When I read such books, I always lose confidence in the author and usually never finish the book, because if they are wrong about this, what about all the other stuff they're telling (where I don't know better) ....
Have a look at the section in this CiC tutorial, scroll down to the Zoom Lenses Vs Prime Lenses bit and play with the two mouse-overs of the dog by the step, one zooms with the lens/crop, the other by changing position, both achieve a larger dog's head, but look at what else changes - that's the difference between zooming with a lens and zooming with your feet - and why I feel it is a falsehood to say (generally, not you personally) "use a prime and zoom with your feet" because what you get doing that is just not the same thing as using a longer (or wider) lens and it doesn't educate them properly.
As Sean says "Keep in mind that using a zoom lens does not necessarily mean that one no longer has to change their position; zooms just increase flexibility".
Maybe I'll get out and shoot some examples tomorrow, but I won't 'disgress' this thread anymore
Cheers,