It also has to be noted that fat is seldom a barrier to getting people into or out of tight spots. Fat moves around quite readily. The limiting factor is almost always bone. In cave rescues it is pretty common to break the color bones of people to allow their shoulders to fold and make moving them through tight spots easily.
True enough about fat not being a limiting factor, although in caving the issue is usually negotiating a relatively short "squeeze," not a uniform 2300 foot borehole. With men, the thickness of the rib cage usually limits what one can negotiate, while with women the pelvic girdle is the "selector."
I must say I have never heard of breaking collar bones as a technique to transport a victim through a passage. One can narrow the shoulder by simply extending one hand and dragging the other. In rescue work, it is far more common to enlarge the passage. Can you quote some actual occurrences?