I do not understand your quote. Changing the focal length to focus is not a breathing issue, but just one method of focusing; keeping the distance from the image plane constant, but slightly changing the focal length. This, if done to perfection, actually prevents "breathing" by keeping the image angle the same no matter where the lens is focused. This is highly desirable in cine lenses.
Article about "lens breathing" from Wikipedia: "Breathing refers to the shifting of angle of view of a lens when changing the focus. Some (often higher quality) lenses are designed to lessen the degree of this effect. Lens breathing does not prevent one from racking focus or following focus with this lens, but it lessens the desirability of any type of focus adjustment, since it noticeably changes the composition of the shot."
https://en.wikipedia.org/wiki/Breathing_(lens)
Many of you seem to have this backwards. A normal old fashioned lens breathes when focus is changed (image angle changes), while IF lens can be designed so that the angle remains constant, i.e. focus is done by changing the focal length, not distance from the sensor.
Sure you _can_ change the focus by changing the focal length but then you're normally talking about the normal function of a zoom lens - but focus breathing happens at the same focal length setting and changes to focal length even on fixed focus lenses.
With old fashioned lenses the image angle doesn't change, only the position of the lens in relation to the film/sensor changes. Focus breathing means that an IF lens changes its image angle i.e. the focal length when you change its focus. The focal length on the old fashioned lens does _not_ change, it remains the same no matter what - that means that when you make big adjustments you may have to reposition the camera. Or you move the rear standard or both standards and then _nothing_ changes and you won't have to reposition anything.
In any case, the focal length (!) remains the same and that's what matters, so we're not talking about focus breathing/lens breathing.
I've not found a single source on the web or in my library that says focus breathing happens with old fashioned lenses or that the normal act of incasing or decreasing the bellows draw counts as focus breathing.