Well, not so fast CF, you are right in some sense. The examples I gave were when the lens is focused at optical infinity or about 50'. In the example you cite, focused at 2" there is actually a shift in angle of view although slight.
In fact, I was recently on a shoot where the (video) camera had a pretty crappy lens and when you changed focus, the entire framing of the picture would change.
The AC pointed out to me (I was pulling focus) "be careful when you focus this lens breathed like an asthmatic smoking a cigarette and running up a flight of stairs."
I had never seen such an extreme case as that.
So, for the most part angle of view or field of vision doesn't change with changes in aperture or focus distance.
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