The NIST report on WTC 7 lays its focus on Column 79 on floor 8 to 13 and some hypothetical damage in its computer modeling.

I want to focus on real visible damage to the columns on the west side of the building near the Verizon building, and there especially on E3 and E4.

I just combed trough the NIST report on WTC 7 regarding these cuts. There is just no word on these cuts. As if they do not know these images.

From my understanding these images show the WTC 7 north facade from a point in Barclay St. viewing south in direction of Washington St. (that is not visible as buried under the debris pile). The beams were shattered against the Verizon building. Note that the columns were cut through horizontally and there are signs of heating (the black colour and the cutting edge itself).

It seems we look on columns E1-7 on the west side of the building- far away from the column 79 on on the other side and on a very different floor as NIST focus on. (see the drawings for column numbering in the NIST report for comparison!)
And on the furthermost point away from the collapse from WTC 1 and 2.

I found some technical aspects they used for their modeling:

Figure 2-24. 3D schematic view of transfer trusses and girders between Floors 5 and 7.
Column 76 was supported at Floor 7 by Truss 1. The west side of Truss 1 was supported by Column 73,
while the east(?) side was supported by a transfer girder running north-south which was, in turn, supported
by Columns E3 and E4 at Floor 5.

page 74
NIST NCSTAR 1-9 Vol1

Truss 1 is shown in Figure 3-34. An elevation view of Truss 1 (looking from the south) is shown in
Figure 3-35. The truss supported Column 76 and transferred Column 76 loads to Column 73 to the west
and to columns E3 and E4 to the east(?). Columns E3 and E4 both started at Floor 7 and carried loads down
to the foundation. Moment connections were used to frame the east-west beam at Floor 5 into Column 73
and girder MG-53.

page 92
NIST NCSTAR 1-9A

Here is another scheme of these transfer girders.

Note: Each diagonal brace reinforced lateral strength on a massive scale.

These images show smoke and ongoing fire suppression work, so it's safe so say that nobody was in there for cutting work at this point.
http://911research.wtc7.net/wtc/evidence/photos/docs/verizon/b7_debris3.jpg
http://www.debunking911.com/b7verizon2.jpg
(it would be good to establish who and when these pictures were made, the same for the others!)

And E3 and E4 are surely one of these who were cut all at the same height.

This site does have a point- the truss plates (in this case welded not bolted) were cut, too, and not bent and twisted.
http://www.nc911truth.org/foto/wtc7.html

Here is a view on the other end of the columns:
http://bp1.blogger.com/_rLV-ZuNPwJ4/R0U5yegJtCI/AAAAAAAAAwQ/WUGKqdDuw24/s1600-h/WTC7PostCollapseEast.jpg

It was- que claro- on the height of just below the 5th floor.
http://bp0.blogger.com/_rLV-ZuNPwJ4/RzjJzhqANjI/AAAAAAAAAu4/KuGB83Eg3VQ/s1600-h/WTCVerizonBuildingDamagefromWTC7.jpg

Besides of the importance of these transfer trusses and their clearly visible cutting below the 5th floor, the NIST report mentioned them only in brackets as it went on to its collapse sequence:

The global collapse of WTC 7 began approximately 7 s after the onset of collapse of the east penthouse
(Figure 8–5). At this time, the entire upper section of the building -- all floors visible in the videos --
moved downward at the same time suggesting widespread failure of the support structure (columns and/or
transfer trusses) in the lower levels of the building (Figure 8–6).

This was announced long ago:
April 19, 2006 – According to the National Institute of Standards and Technology, on March 31, 2006, under solicitation number SB1341-06-Q-0186, a fixed price purchase order has been awarded by the federal government to Applied Research Associates, Inc. (ARA) of Albuquerque, New Mexico to research and provide World Trade Center Building Seven structural analysis and collapse hypotheses.[1] Specifically, the U.S. government has contracted with ARA to:

Create detailed floor analyses to determine likely modes of failure for Floors 8 to 46 due to failure of one or more supporting columns (at one or more locations) in World Trade Center Building Seven.
http://wtc.nist.gov/solicitations/wtc_awardQ0186.htm

Testimony Barry Jennings:
"We went down the stairs. When we reached the sixth floor... there was an explosion and the landing gave way.
http://www.911blogger.com/node/16573

Is this maybe what he felt? Cutter Charges to cut these exterior columns? I couldn't establish in which stairwell Jennings was ( but I suppose it was on this side) Maybe there was a sophisticated demolition work with several steps-

Why should someone cut these columns long before the actual demolition took place? Now, if you cut these beams horizontally, the building will not fail immediately, because the loads were ongoing transferred vertically even if there is a cut, there is no chance that these beams will "walk" (as you try to achieve through diagonal cutting). But, later on, if you demolished other columns in the middle, center, like in this gif;

the interior columns and the transfer trusses will fail also, because their load couldn't be transferred to the ground anymore and they will end up in mid air. Another aspect is that you can reduce the level of sound through distributing it on several times and use the chaos of that day as shield for your OP.

I think NIST's gross negligence regarding the transfer columns failure and the visible damage to the exterior columns E1-7 are another nail in the coffin for the official theory.

A brief note: In all pictures of the WTC 7 debris pile no fire can be seen, only the same white plume of smoke as in the rubble pile of WTC 1 and 2. But, one of the hottest "hot spots" found in the thermal pictures from the USGS was indeed under WTC 7.

Edit: Note: Cutter charges do no leave such a cut with thermal heating signs as shown here:
http://whatreallyhappened.com/WRHARTICLES/wtc_charges.html?q=wtc_charges.html
But maybe nanothermate applications in sol-gel packs do.