Thank you for focusing on the relevant quotes. I agree with much of your assessment which shows that the term "pull" is used within the context of gravity, cables, and explosives. With that said, I want to focus on quote in particular along with its context since you are at least open to this source.
From Implosion World:
DID YOU KNOW that only a small percentage of explosive demolition jobs are true 'building implosions'?
Webster’s Dictionary defines implosion as "a violent collapse inward". In the demolition industry, a blaster is usually trying to pull a structure away from adjacent exposures and towards an area large enough to contain the debris.
Therefore, the only time a building is truly 'imploded' is when exposures (other structures or areas of concern) completely surround it.
When this situation exists, the blaster has no choice; he must make the building collapse in on itself. This is by far the trickiest type of explosive demolition project, and there are only a handful of blasting companies in the world that possess enough experience—and insurance—to perform these true building implosions.
On the same page we find this
image using explosives.
In this context, the blaster above is trying to pull a structure in on itself, in this case, using explosives which can be found in the remaining passage.
In the above quote Stacy refers to IT as a building being "pulled" in on top of itself. In this the case the "pull" part is referring to the small explosions causing the building to collapse in on it self. Hence "pull" another case where "pull" refers to the act of imploding a building using small explosions.
There is no need to litter the thread at this point with Larry Silverstein or my thoughts on his comment. This is in reference to the term pull and how it is used in the industry.