New Videos of the Collapses of WTC 7 and 1
Observations: WTC-7 does not collapse neatly into its own footprint; you can see that it starts straight down but the south side shows less resistance and the building topples in that direction. Which means that the Troofers were right all along; the building should have (and did) collapse asymmetrically towards the area of most damage.
On WTC-1, note the debris hitting WTC-7, and note as well the "spire" or partial core of the building standing briefly after the rest of the building collapses. Indeed, looking at this I wonder if the "spire" is what ended up hitting the World Financial Center.