Well, I guess we'll have to agree to disagree. As far as I'm
concerned perspective and telephoto compression are two sides of
the same coin, and neither side is affected by cropping or changing
focal length.
I think this is mostly just a difference in terminology. I have
been using "telephoto compression" to refer to the perceived
"flattening" of a telephoto image as compared with the original
scene, as well as the "flatness" that is perceived even without
reference to the original scene or to another image. It seems that
you are using "telephoto compression" just to describe the
difference in perspective resulting from moving farther from the
subject (as would be necessary to obtain the same framing with a
longer lens).
We also disagree on the meaning of "perspective distortion". I
used this term for what Wikipedia calls "perspective projection
distortion", but that probably wasn't clear and Wikipedia's term is
too unwieldy. It would be nice to have a completely new and
unambiguous term for this - perhaps "depth distortion" would do.
BTW, did you try the demonstration I suggested toward the end of my
first post? I know it's about wide-angle distortion rather than
telephoto compression, but surely those are two sides of the same
coin. The demonstration clearly shows that wide-angle distortion
isn't just a matter of perspective, but also involves perception
and viewing conditions.