You're assuming 100% efficiency of the heat transfer from the thermite to the steel, which is hopelessly optimistic.
...
Taking a very generous heat transfer efficiency of 25%....
if you weren't useless, you could have calculated what amount of energy will radiate off in a given timeframe and what amount of energy will be absorbed by the air, and estimated a "heat transfer figure" Instead, you randomly make figures up. Yeah. That's serious sciencework, right.
Your hypothesis, therefore, requires that every WTC survivor is part of the conspiracy; due to the difficulty of selection, it tends to suggest that all the WTC victims were conspirators too.
You're making up stuff again. The assertion that the entire WTC population would have to be in on the conspiracy or otherwise realize the building is being rigged is ridiculous.
You're also assuming that it's possible to hold the thermite in contact with the steel while the temperatures equilibrate, which requires that you hold the thermite in a vessel of greater than 1500ºC melting point, which is sufficiently robust to have survived the airplane impact. I assert that no such material exists. Unless you can name one, your entire argument is an appeal to magic.
Tungsten, Fool
there's not actually anywhere in the towers you could attach these devices easily
Right, steal I-Beams are known to be incredibly slippery to the point of impossibility of attaching anything to them. Even duct tape falls right off.
Not only does this show that the proposed demolition method is wrong, but in picture 2 you can also clearly see that the charges are set at a standoff distance. This insulating blanket of air would result in thermite being extremely ineffective.
Stop thinking watching 5s of footage of someone using a shaped charge makes you an expert. Ask someone. The shaped charges contain a copper casing. The parabolic inside of the shaped charge causes a jet of hot plasma when the shaped charge is detonated. The material inside the shaped charges is going to be C4, a high explosive. Despite containing a HE, the construction is not referred to as a HE charge, it's a shaped linear cutting charge.
The problem with those if you clandestinely want to blow up a building under the cover of a jet liner impact, is that they're not only using copious amounts of HE, causing a loud boom, no, they also produce copper shrapnel by the bucketload, and leave copper signatures behind on whatever they cut. So any cleanup operation would find this. Plus it's what you commonly use for destruction of steel columns, which means it's going to be detected pretty quickly as there are enough people familiar with those.
Now thermite is not used in a shaped charge. Thermite is simply an incendiary and doesn't produce a copper plasma jet. Instead it melts pretty much anything it comes across within the shortest amount of time. The way to use thermite is not with a shaped charge, but with direct application.
According to Jones, commercial solutions for thermite based column destruction appear to be essentially metal cases with slids in it. however, these would leave back the metal cases or whatever remains from them. However, if one were to undertake a large scale operation like the destruction of the WTC, it would be trivial to create flat, solid thermite charges by pressure, or plastic. Those would detonate tugged to the columns and most of the termite would in fact fall off. So that means, if you use thermite over a shaped charge
- You will not have copper shrapnell or otherwise identifiable parts afterwards, merely the thermite signature molten iron and steel, and gaseous aluminium.
- You will not have a violent explosion, instead the beam will simply seem to fail.
- No one will look for thermite since it's not usually used for building destruction.
As such it is ideally suitable to the clandestine destruction of a steel highrise building.
However, there's two problems with this caseless thermite approach
1. It does not explain the observed explosive force
2. It may not actually work. Using copious quantities of thermite, the beams may simply press the softened material away and eventually fuse again through dissipation.
However, and this is where my experience with explosives comes into play again, what I'm thinking of solves both of these issues.
I spent some time in Inkscape to also educate the more complete idiots on this forum on how this would look like.

1- Lets say, that's a regular, badly drawn I-Beam.
For comparison, Fig 2 and 3 show how a shaped charge, or a high explosives destruction of a beam looks like. The huge packs are no accident, HE is very inefficient compared to shaped charges at destroying (intact) steel.

2 - Shaped linear cutting charges

3 - HE charges
Now here's what I actually suggest. Instead of shaped charges, we use thermite charges. These thermite charges are caseless and glued / wired / duct taped to the beam. That means, when they go off, a large portion of the thermite will actually fall to the ground or hit the beam way below.

Solidified Thermite and 100g of TNT
However, since thermite is fairly effective, a large, flat slab of thermite would sufficiently weaken the steel to already nearly collapse on its own, but the pressure that's on the beam might actually push a large portion of the softened material away, and the beam's heat dissipation might cause any liquified material to quickly solidify again.
Again - not an expert on thermite. But this is a perfectly viable setup.

Thermite melts...
Finally, after a few seconds, the weakened steel is severed by a HE charge much much smaller than the one that would be needed for a pure-HE destruction or even a shaped charge.

HE charge severes the weakened beam.
Now this is perfectly viable and would explain everything observed. Except for one tiny thing: Most explosives like C4 or TNT leave residue that can be detected by bomb-sniffing dogs or chemical analysis. I'm not a chemist, so I don't know if there's alternative high explosives that wouldn't be detected by such means. Maybe it's highly explosive super dooper thermite? Then again. FEMA was quick to shield the evidence from any independent investigators so it may just be a regular old 100g block of TNT.
Yes, it will contain some sulfur, too.
Structural Steel does not contain sulfur. Neither should it melt under any office fire / collapse related circumstances to the point where sulfur can enter the steel. The thermite theory perfectly explains the sulfur. You can't without without heavily bending the laws of physics.