It's important to use correct, commonly agreed-upon terms in any argument. In this case, to clarify whether we're talking about an intact structure or a layer or more of rubble, because this affects the physics of our argument.
The descriptions being provided here at JREF seem to suggest uncertainty and disagreement.
Which, if true, is utterly irrelevant. Bazant models the collapse as a three-part system comprising a substantially intact upper section, an accumulation of rubble, and a substantially intact lower section. This is, of course, a simplification, but is a reasonably valid one.
My understanding, from the NIST "findings", is that only about 15% of the columns were severed by the jet impacts. That leaves 85% remaining columns. Whether they are heat-comprised or not, there is "stuff" to crush through. So the word "falling" is a little inaccurate.
My understanding is that the collapses took place some time after the jet impacts, and that a progressive failure of the remaining columns occurred as a result of their weakening by heat and of lateral forces that they were not designed to resist. When this progressive failure took place, there was rapid lateral progression resulting in the failure of all vertical elements over a much shorter timescale than was required for the upper section to descend through the length over which the vertical members failed. Therefore, the word "falling" is very accurate, in that the structural support given to the upper portion was, for a significant length of time, negligible.
No, the analysis provided by Bazant and NIST errs in several ways. And furthermore, if we are now talking about rubble rather than an intact structure, the analysis has just been thrown out the window. No "energetic analysis" has been done showing that rubble can crush through an intact building.
You clearly have failed to understand Bazant's analysis, and conflated it with NIST's analysis. Bazant's work explicitly discusses the role of the intervening layer of rubble in the collapse. Energetic analysis, of course, shows equally well that rubble can crush a substantially intact building as any other form of mass, as it takes no account of the form of the falling mass, only its magnitude.
A simple picture suffices:
No, in fact, it doesn't. You're suggesting that at no time in the collapse can an upper portion of the structure be seen to be falling, and trying to bolster that suggestion with a single picture of a moment in time of the collapse at which the dust cloud has obscured that part of the structure. That's the pictorial equivalent of quote mining. I'm not going to bother looking for one of the vast number of pictures that shows a subbstantially undamaged upper block falling; if you deny their existence, you'll no doubt continue to do so even when presented with them.
Dave