The precise calculation should be much more difficult, non-elastic (or inelastic) means in fact that the impuls is conserved but not the energy, it can indeed be used to break a floor or to pulverize some stuff in the building ( I don't care about whether the core is iron or not and how complex the structure is, it's input-output that matters).
But if mass scatters away, obviously, no doubt about it, I'll post a reliable picture from BBC, not from a CT'ers site
http://newsimg.bbc.co.uk/media/images/41497000/jpg/_41497974_wtc_203bap.jpg
Roughly I would say that most of it scatters away from the building and that the block follows it's way down, but as I said the calculation needs to be modified. Greening's paper is without doubt a proper scientific paper, but it is under the assumption of that so-called progressive collapse or whatever the current name is. Some guys made some fun about the "growing block" that I talked about before, but in fact that is what Greening does although the block is in fact the initial falling upperblock plus al mass of the floors collapsed concentrated in a rectangular area (in fact with height=0, like an area of point masses)
This is a mathematical model (ideal situation) of the collapse. If one is able to estimate w(...,.n...,t

...)=w

? then one can calculate the collapse time. But even without any knowledge about that thing the minimum collapse time will increase, IMO dramatically, but we are not yet at the stage for hard conclusions.
Further the block is assumed to stay intact during its fall by F.R.Greening (it is hard to see from the videos, frames etc what really happened) but if you consider scattering (this means partly elastic and partly inelastic I think) the block will definitely damage during its fall and probably lose some mass during its fall, this is also a thing that should be added to the calculations.
Someone good with excel ? I don't use it I hate it.