William, here's what I'm trying to understand:
Are you suggesting that the horizontal elements of the upper sections are so heavily reinforced and rigid, that there's no chance of them breaking up as the upper sections tilt into the damaged area of the building? Because that seems to be exactly what you are suggesting.
As I understand it - and I fully admit I might be mistaken - the aircraft destroyed several support columns from the inner box, while creating a hole in the outer support. From the diagrams and photographs, my guess is that the total damage on the interior was proportionally larger than the total damage to the exterior. Since the interior was designed to support more weight than the exterior, it's fairly safe to suggest that the exterior facing could not be expected to hold the upper stories safely in place; but at the same time, since the interior was seriously compromised by initial impact and subsequent plasticizing due to fire, the interior was not likely to support the upper stories for long, either.
Now, bear with me here... if the interior supports did give - and, from reading and watching about other building collapses, it's safe to assume that the time between initial column failure and final column failure for the interior was one or two seconds apart at best - then what's keeping the upper floors from sagging in the middle and collapsing into the damaged region? You've made the suggestion, whether intentional or not, that each floor is like a rigid plate that would stay whole whether falling, sliding, or tilting; when, in fact, each floor is made of a variety of materials and, once free from its support, would be likely to suffer torsion damage and failure of cross members in numerous places.
So the interior columns fail. The floors, no longer supported, begin to sag and, ultimately, collapse downward. The outer columns, receiving less damage proportionally, hold up the outer edges of the floors momentarily, but also fail due to increased stress. The result would be a cave-in, essentially. The upper sections, it seems to me, would simply drop into the damaged area - not whole, but as a collection of debris of fairly large size.
The images we see of the collapse are misleading in one way: as the collapse begins, we see what we think are entire, whole floors dropping in sync into the damage zone; but what are we really witnessing? The drop of outer support members, as stresses in the damage zone cause catastrophic failure of those outer supports at that level, allowing those above it to slide down, into the damaged area.
In your concept, if I understand correctly, you suggest that the weight of the upper portions remains evenly distributed around the building in spite of the loss of columns, and that the upper sections remain fixed and rigid during structural failure; that those columns not damaged could continue to support their share of the load even as the building top fell, causing it to hinge into the damaged area, and slide through the damage, toward the ground, without significantly damaging the lower portions of the building. Is that about right? I hope you'll correct me, because that makes no sense at all - but that seems to me to be what you're claiming.
As for why the core isn't still standing, isn't it pretty understandable? I mean, there's a pretty good reason we don't build cores like that first, then make the building around them. Without their cross-supports, they topple and crush themselves under their own weight in the wind. Anyone who says otherwise never tried stacking LEGO when they were kids.